537292864400 has 60 divisors (see below), whose sum is σ = 1291071690900. Its totient is φ = 214879587840.

The previous prime is 537292864397. The next prime is 537292864403. The reversal of 537292864400 is 4468292735.

It is an interprime number because it is at equal distance from previous prime (537292864397) and next prime (537292864403).

It can be written as a sum of positive squares in 6 ways, for example, as 125780878336 + 411511986064 = 354656^2 + 641492^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (537292864403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2233166 + ... + 2462034.

It is an arithmetic number, because the mean of its divisors is an integer number (21517861515).

Almost surely, 2^537292864400 is an apocalyptic number.

537292864400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

537292864400 is an abundant number, since it is smaller than the sum of its proper divisors (753778826500).

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

537292864400 is a wasteful number, since it uses less digits than its factorization.

537292864400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234756 (or 234745 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 50.

The spelling of 537292864400 in words is "five hundred thirty-seven billion, two hundred ninety-two million, eight hundred sixty-four thousand, four hundred".