10007697051616 has 72 divisors (see below), whose sum is σ = 22065251963832. Its totient is φ = 4463123808000.

The previous prime is 10007697051613. The next prime is 10007697051697. The reversal of 10007697051616 is 61615079670001.

It is a super-2 number, since 2×10007697051616² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10007697051616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10007697051613) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24178110 + ... + 24588541.

It is an arithmetic number, because the mean of its divisors is an integer number (306461832831).

Almost surely, 2^{10007697051616} is an apocalyptic number.

10007697051616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10007697051616 is an abundant number, since it is smaller than the sum of its proper divisors (12057554912216).

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

10007697051616 is a wasteful number, since it uses less digits than its factorization.

10007697051616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48766736 (or 48766717 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 49.

The spelling of 10007697051616 in words is "ten trillion, seven billion, six hundred ninety-seven million, fifty-one thousand, six hundred sixteen".