10097973130336 has 96 divisors (see below), whose sum is σ = 24929829546048. Its totient is φ = 3919428864000.

The previous prime is 10097973130331. The next prime is 10097973130409. The reversal of 10097973130336 is 63303137979001.

It is a super-2 number, since 2×10097973130336² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (52) 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 (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10097973130331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32559915 + ... + 32868586.

It is an arithmetic number, because the mean of its divisors is an integer number (259685724438).

Almost surely, 2^{10097973130336} is an apocalyptic number.

10097973130336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10097973130336 is an abundant number, since it is smaller than the sum of its proper divisors (14831856415712).

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

10097973130336 is a wasteful number, since it uses less digits than its factorization.

10097973130336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65428584 (or 65428576 counting only the distinct ones).

The product of its (nonzero) digits is 1928934, while the sum is 52.

The spelling of 10097973130336 in words is "ten trillion, ninety-seven billion, nine hundred seventy-three million, one hundred thirty thousand, three hundred thirty-six".