9987657942400 has 96 divisors (see below), whose sum is σ = 24916920594480. Its totient is φ = 3955507968000.

The previous prime is 9987657942397. The next prime is 9987657942403. The reversal of 9987657942400 is 42497567899.

It is an interprime number because it is at equal distance from previous prime (9987657942397) and next prime (9987657942403).

It is a super-2 number, since 2×9987657942400² (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 9987657942400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9987657942403) 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, 15128004 + ... + 15774403.

Almost surely, 2^{9987657942400} is an apocalyptic number.

It is an amenable number.

9987657942400 is an abundant number, since it is smaller than the sum of its proper divisors (14929262652080).

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

9987657942400 is a wasteful number, since it uses less digits than its factorization.

9987657942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30902532 (or 30902515 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 70.

The spelling of 9987657942400 in words is "nine trillion, nine hundred eighty-seven billion, six hundred fifty-seven million, nine hundred forty-two thousand, four hundred".