88725729762768 has 320 divisors, whose sum is σ = 290442807296000. Its totient is φ = 23241275205120.

The previous prime is 88725729762763. The next prime is 88725729762781. The reversal of 88725729762768 is 86726792752788.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88725729762763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5122530 + ... + 14272062.

It is an arithmetic number, because the mean of its divisors is an integer number (907633772800).

Almost surely, 2^{88725729762768} 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 88725729762768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145221403648000).

88725729762768 is an abundant number, since it is smaller than the sum of its proper divisors (201717077533232).

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

88725729762768 is a wasteful number, since it uses less digits than its factorization.

88725729762768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9149615 (or 9149595 counting only the distinct ones).

The product of its digits is 15931883520, while the sum is 84.

The spelling of 88725729762768 in words is "eighty-eight trillion, seven hundred twenty-five billion, seven hundred twenty-nine million, seven hundred sixty-two thousand, seven hundred sixty-eight".