10097292142080 has 1920 divisors, whose sum is σ = 42880095498240. Its totient is φ = 2244982210560.

The previous prime is 10097292142031. The next prime is 10097292142109. The reversal of 10097292142080 is 8024129279001.

10097292142080 is a `hidden beast` number, since 100 + 9 + 7 + 29 + 21 + 420 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 191 ways as a sum of consecutive naturals, for example, 19837508866 + ... + 19837509374.

It is an arithmetic number, because the mean of its divisors is an integer number (22333383072).

Almost surely, 2^{10097292142080} is an apocalyptic number.

10097292142080 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 10097292142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21440047749120).

10097292142080 is an abundant number, since it is smaller than the sum of its proper divisors (32782803356160).

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

10097292142080 is a wasteful number, since it uses less digits than its factorization.

10097292142080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 10097292142080 in words is "ten trillion, ninety-seven billion, two hundred ninety-two million, one hundred forty-two thousand, eighty".