96522062400 has 315 divisors, whose sum is σ = 355202411641. Its totient is φ = 25709391360.

The previous prime is 96522062389. The next prime is 96522062471. The reversal of 96522062400 is 426022569.

The square root of 96522062400 is 310680.

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

96522062400 is a `hidden beast` number, since 9 + 6 + 5 + 2 + 20 + 624 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34747942464 + 61774119936 = 186408^2 + 248544^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 111844369 + ... + 111845231.

Almost surely, 2^96522062400 is an apocalyptic number.

96522062400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

96522062400 is the 310680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96522062400

96522062400 is an abundant number, since it is smaller than the sum of its proper divisors (258680349241).

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

96522062400 is an frugal number, since it uses more digits than its factorization.

96522062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 96522062400 by its sum of digits (36), we get a square (3474794246400 = 1864080²).

96522062400 divided by its sum of digits (36) gives a square (2681168400 = 51780²).

Adding to 96522062400 its reverse (426022569), we get a palindrome (96948084969).

The spelling of 96522062400 in words is "ninety-six billion, five hundred twenty-two million, sixty-two thousand, four hundred".