5873754507264 has 672 divisors, whose sum is σ = 20210436005760. Its totient is φ = 1671052197888.

The previous prime is 5873754507211. The next prime is 5873754507329. The reversal of 5873754507264 is 4627054573785.

It is a happy number.

5873754507264 is a `hidden beast` number, since 5 + 8 + 73 + 7 + 54 + 507 + 2 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2748597204 + ... + 2748599340.

It is an arithmetic number, because the mean of its divisors is an integer number (30075053580).

Almost surely, 2^{5873754507264} is an apocalyptic number.

5873754507264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5873754507264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10105218002880).

5873754507264 is an abundant number, since it is smaller than the sum of its proper divisors (14336681498496).

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

5873754507264 is an equidigital number, since it uses as much as digits as its factorization.

5873754507264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 197568000, while the sum is 63.

The spelling of 5873754507264 in words is "five trillion, eight hundred seventy-three billion, seven hundred fifty-four million, five hundred seven thousand, two hundred sixty-four".