88961492163600 has 1215 divisors, whose sum is σ = 381781159469541. Its totient is φ = 19123446988800.

The previous prime is 88961492163589. The next prime is 88961492163629. The reversal of 88961492163600 is 636129416988.

The square root of 88961492163600 is 9431940.

It is a perfect power (a square), and thus also a powerful number.

88961492163600 is a `hidden beast` number, since 8 + 8 + 9 + 6 + 1 + 4 + 9 + 2 + 16 + 3 + 600 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1327629363984 + 87633862799616 = 1152228^2 + 9361296^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 67344050940 + ... + 67344052260.

Almost surely, 2^{88961492163600} is an apocalyptic number.

88961492163600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

88961492163600 is the 9431940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88961492163600

88961492163600 is an abundant number, since it is smaller than the sum of its proper divisors (292819667305941).

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

88961492163600 is a wasteful number, since it uses less digits than its factorization.

88961492163600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2714 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 88961492163600 in words is "eighty-eight trillion, nine hundred sixty-one billion, four hundred ninety-two million, one hundred sixty-three thousand, six hundred".