88528074149376 has 320 divisors, whose sum is σ = 265986728884800. Its totient is φ = 29067017453568.

The previous prime is 88528074149371. The next prime is 88528074149443. The reversal of 88528074149376 is 67394147082588.

It is a happy number.

88528074149376 is a `hidden beast` number, since 8 + 8 + 5 + 28 + 0 + 7 + 41 + 493 + 76 = 666.

It is a super-2 number, since 2×88528074149376² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88528074149371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 775980850 + ... + 776094926.

It is an arithmetic number, because the mean of its divisors is an integer number (831208527765).

It is a 1-persistent number, because it is pandigital, but 2⋅88528074149376 = 177056148298752 is not.

Almost surely, 2^{88528074149376} 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 88528074149376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132993364442400).

88528074149376 is an abundant number, since it is smaller than the sum of its proper divisors (177458654735424).

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

88528074149376 is a wasteful number, since it uses less digits than its factorization.

88528074149376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114946 (or 114924 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 88528074149376 in words is "eighty-eight trillion, five hundred twenty-eight billion, seventy-four million, one hundred forty-nine thousand, three hundred seventy-six".