65014800400 has 405 divisors, whose sum is σ = 184219816599. Its totient is φ = 22030272000.

The previous prime is 65014800377. The next prime is 65014800463. The reversal of 65014800400 is 400841056.

The square root of 65014800400 is 254980.

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 29946994704 + 35067805696 = 173052^2 + 187264^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1065816370 + ... + 1065816430.

Almost surely, 2^65014800400 is an apocalyptic number.

65014800400 is the 254980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65014800400

65014800400 is an abundant number, since it is smaller than the sum of its proper divisors (119205016199).

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

65014800400 is a wasteful number, since it uses less digits than its factorization.

65014800400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The spelling of 65014800400 in words is "sixty-five billion, fourteen million, eight hundred thousand, four hundred".