88629552000 has 640 divisors, whose sum is σ = 359155162080. Its totient is φ = 21482496000.

The previous prime is 88629551999. The next prime is 88629552041. The reversal of 88629552000 is 25592688.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-4 number, since 4×88629552000⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14252892 + ... + 14259108.

Almost surely, 2^88629552000 is an apocalyptic number.

88629552000 is a gapful number since it is divisible by the number (80) 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 88629552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179577581040).

88629552000 is an abundant number, since it is smaller than the sum of its proper divisors (270525610080).

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

88629552000 is a wasteful number, since it uses less digits than its factorization.

88629552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6269 (or 6238 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 88629552000 in words is "eighty-eight billion, six hundred twenty-nine million, five hundred fifty-two thousand".