88628625708480 has 1008 divisors, whose sum is σ = 371725106688000. Its totient is φ = 19193169715200.

The previous prime is 88628625708457. The next prime is 88628625708629. The reversal of 88628625708480 is 8480752682688.

It is a happy number.

88628625708480 is a `hidden beast` number, since 8 + 8 + 6 + 2 + 8 + 6 + 2 + 570 + 8 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 88628625708399 and 88628625708408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 165704521 + ... + 166238519.

Almost surely, 2^{88628625708480} is an apocalyptic number.

88628625708480 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 88628625708480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185862553344000).

88628625708480 is an abundant number, since it is smaller than the sum of its proper divisors (283096480979520).

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

88628625708480 is a wasteful number, since it uses less digits than its factorization.

88628625708480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534090 (or 534064 counting only the distinct ones).

The product of its (nonzero) digits is 660602880, while the sum is 72.

The spelling of 88628625708480 in words is "eighty-eight trillion, six hundred twenty-eight billion, six hundred twenty-five million, seven hundred eight thousand, four hundred eighty".