88501620700900 has 81 divisors (see below), whose sum is σ = 211097119138633. Its totient is φ = 32182031226400.

The previous prime is 88501620700877. The next prime is 88501620700907. The reversal of 88501620700900 is 900702610588.

The square root of 88501620700900 is 9407530.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 31860583452324 + 56641037248576 = 5644518^2 + 7526024^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (88501620700907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1034785539 + ... + 1034871061.

Almost surely, 2^{88501620700900} is an apocalyptic number.

88501620700900 is the 9407530-th square number.

It is an amenable number.

88501620700900 is an abundant number, since it is smaller than the sum of its proper divisors (122595498437733).

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

88501620700900 is an frugal number, since it uses more digits than its factorization.

88501620700900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171082 (or 85541 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 46.

The spelling of 88501620700900 in words is "eighty-eight trillion, five hundred one billion, six hundred twenty million, seven hundred thousand, nine hundred".