58090640400 has 675 divisors, whose sum is σ = 227966458599. Its totient is φ = 14160407040.

The previous prime is 58090640371. The next prime is 58090640423. The reversal of 58090640400 is 404609085.

The square root of 58090640400 is 241020.

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

58090640400 is a `hidden beast` number, since 5 + 8 + 0 + 9 + 0 + 640 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14972948496 + 43117691904 = 122364^2 + 207648^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a super-2 number, since 2×58090640400² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 563986749 + ... + 563986851.

Almost surely, 2^58090640400 is an apocalyptic number.

58090640400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

58090640400 is the 241020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58090640400

58090640400 is an abundant number, since it is smaller than the sum of its proper divisors (169875818199).

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

58090640400 is a wasteful number, since it uses less digits than its factorization.

58090640400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 58090640400 by its sum of digits (36), we get a square (2091263054400 = 1446120²).

58090640400 divided by its sum of digits (36) gives a square (1613628900 = 40170²).

The spelling of 58090640400 in words is "fifty-eight billion, ninety million, six hundred forty thousand, four hundred".