90576921600 has 1485 divisors, whose sum is σ = 389082343881. Its totient is φ = 20802355200.

The previous prime is 90576921571. The next prime is 90576921601. The reversal of 90576921600 is 612967509.

It is a happy number.

The square root of 90576921600 is 300960.

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., 32607691776 + 57969229824 = 180576^2 + 240768^2 .

It is a tau number, because it is divible by the number of its divisors (1485).

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

It is not an unprimeable number, because it can be changed into a prime (90576921601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4767206391 + ... + 4767206409.

Almost surely, 2^90576921600 is an apocalyptic number.

90576921600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

90576921600 is the 300960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90576921600

90576921600 is an abundant number, since it is smaller than the sum of its proper divisors (298505422281).

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

90576921600 is a wasteful number, since it uses less digits than its factorization.

90576921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

It can be divided in two parts, 905769 and 21600, that added together give a square (927369 = 963²).

The spelling of 90576921600 in words is "ninety billion, five hundred seventy-six million, nine hundred twenty-one thousand, six hundred".