88873010763264 has 3200 divisors, whose sum is σ = 354023341056000. Its totient is φ = 22017212743680.

The previous prime is 88873010763239. The next prime is 88873010763283. The reversal of 88873010763264 is 46236701037888.

88873010763264 is a `hidden beast` number, since 8 + 8 + 8 + 7 + 301 + 0 + 7 + 63 + 264 = 666.

It is a super-3 number, since 3×88873010763264³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 212107424047 + ... + 212107424465.

It is an arithmetic number, because the mean of its divisors is an integer number (110632294080).

Almost surely, 2^{88873010763264} is an apocalyptic number.

88873010763264 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88873010763264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177011670528000).

88873010763264 is an abundant number, since it is smaller than the sum of its proper divisors (265150330292736).

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

88873010763264 is a wasteful number, since it uses less digits than its factorization.

88873010763264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 88873010763264 in words is "eighty-eight trillion, eight hundred seventy-three billion, ten million, seven hundred sixty-three thousand, two hundred sixty-four".