10145097192960 has 640 divisors, whose sum is σ = 37982808230400. Its totient is φ = 2559598755840.

The previous prime is 10145097192959. The next prime is 10145097193019. The reversal of 10145097192960 is 6929179054101.

It is a happy number.

10145097192960 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 509 + 71 + 9 + 2 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10145097192897 and 10145097192906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1086077890 + ... + 1086087230.

It is an arithmetic number, because the mean of its divisors is an integer number (59348137860).

Almost surely, 2^{10145097192960} is an apocalyptic number.

10145097192960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10145097192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18991404115200).

10145097192960 is an abundant number, since it is smaller than the sum of its proper divisors (27837711037440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10145097192960 is an equidigital number, since it uses as much as digits as its factorization.

10145097192960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10219 (or 10197 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 10145097192960 in words is "ten trillion, one hundred forty-five billion, ninety-seven million, one hundred ninety-two thousand, nine hundred sixty".