96420537804816 has 75 divisors (see below), whose sum is σ = 279070033397133. Its totient is φ = 32140061435520.

The previous prime is 96420537804809. The next prime is 96420537804839. The reversal of 96420537804816 is 61840873502469.

The square root of 96420537804816 is 9819396.

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

96420537804816 is a `hidden beast` number, since 9 + 6 + 4 + 2 + 0 + 537 + 80 + 4 + 8 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19135340364816 + 77285197440000 = 4374396^2 + 8791200^2 .

It is a super-2 number, since 2×96420537804816² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 353361876 + ... + 353634636.

It is a 2-persistent number, because it is pandigital, and so is 2⋅96420537804816 = 192841075609632, but 3⋅96420537804816 = 289261613414448 is not.

Almost surely, 2^{96420537804816} is an apocalyptic number.

96420537804816 is the 9819396-th square number.

It is an amenable number.

96420537804816 is an abundant number, since it is smaller than the sum of its proper divisors (182649495592317).

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

96420537804816 is an frugal number, since it uses more digits than its factorization.

96420537804816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545542 (or 272766 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 96420537804816 in words is "ninety-six trillion, four hundred twenty billion, five hundred thirty-seven million, eight hundred four thousand, eight hundred sixteen".