88406676753408 has 2112 divisors, whose sum is σ = 308695311654912. Its totient is φ = 24132483809280.

The previous prime is 88406676753401. The next prime is 88406676753427. The reversal of 88406676753408 is 80435767660488.

It is a happy number.

88406676753408 is a `hidden beast` number, since 8 + 8 + 40 + 66 + 76 + 7 + 53 + 408 = 666.

It is a super-2 number, since 2×88406676753408² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (88406676753401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 262334352216 + ... + 262334352552.

Almost surely, 2^{88406676753408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88406676753408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154347655827456).

88406676753408 is an abundant number, since it is smaller than the sum of its proper divisors (220288634901504).

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

88406676753408 is a wasteful number, since it uses less digits than its factorization.

88406676753408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 1300561920, while the sum is 72.

The spelling of 88406676753408 in words is "eighty-eight trillion, four hundred six billion, six hundred seventy-six million, seven hundred fifty-three thousand, four hundred eight".