10144897560000 has 1680 divisors, whose sum is σ = 45394573086720. Its totient is φ = 2111754240000.

The previous prime is 10144897559987. The next prime is 10144897560029. The reversal of 10144897560000 is 6579844101.

10144897560000 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 4 + 89 + 7 + 560 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1328036181 + ... + 1328043819.

Almost surely, 2^{10144897560000} is an apocalyptic number.

10144897560000 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 10144897560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22697286543360).

10144897560000 is an abundant number, since it is smaller than the sum of its proper divisors (35249675526720).

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

10144897560000 is a wasteful number, since it uses less digits than its factorization.

10144897560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7732 (or 7704 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 10144897560000 in words is "ten trillion, one hundred forty-four billion, eight hundred ninety-seven million, five hundred sixty thousand".