88270346752900 has 81 divisors (see below), whose sum is σ = 207417292472943. Its totient is φ = 32591677060800.

The previous prime is 88270346752883. The next prime is 88270346752921. The reversal of 88270346752900 is 925764307288.

The square root of 88270346752900 is 9395230.

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

It can be written as a sum of positive squares in 4 ways, for example, as 22751812452996 + 65518534299904 = 4769886^2 + 8094352^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1221343765 + ... + 1221416035.

Almost surely, 2^{88270346752900} is an apocalyptic number.

88270346752900 is the 9395230-th square number.

It is an amenable number.

88270346752900 is an abundant number, since it is smaller than the sum of its proper divisors (119146945720043).

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

88270346752900 is an frugal number, since it uses more digits than its factorization.

88270346752900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144582 (or 72291 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 61.

The spelling of 88270346752900 in words is "eighty-eight trillion, two hundred seventy billion, three hundred forty-six million, seven hundred fifty-two thousand, nine hundred".