88377743647872 has 1792 divisors, whose sum is σ = 328549277675520. Its totient is φ = 23093241937920.

The previous prime is 88377743647861. The next prime is 88377743647891. The reversal of 88377743647872 is 27874634777388.

88377743647872 is a `hidden beast` number, since 8 + 8 + 3 + 7 + 7 + 74 + 3 + 6 + 478 + 72 = 666.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 88377743647791 and 88377743647800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 129396403243 + ... + 129396403925.

Almost surely, 2^{88377743647872} 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 88377743647872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164274638837760).

88377743647872 is an abundant number, since it is smaller than the sum of its proper divisors (240171534027648).

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

88377743647872 is a wasteful number, since it uses less digits than its factorization.

88377743647872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1026 counting only the distinct ones).

The product of its digits is 14869757952, while the sum is 81.

The spelling of 88377743647872 in words is "eighty-eight trillion, three hundred seventy-seven billion, seven hundred forty-three million, six hundred forty-seven thousand, eight hundred seventy-two".