5164261502400 has 4032 divisors, whose sum is σ = 26473741572096. Its totient is φ = 919683072000.

The previous prime is 5164261502359. The next prime is 5164261502417. The reversal of 5164261502400 is 42051624615.

5164261502400 is a `hidden beast` number, since 5 + 1 + 642 + 6 + 1 + 5 + 0 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 12266654190 + ... + 12266654610.

It is an arithmetic number, because the mean of its divisors is an integer number (6565908128).

Almost surely, 2^{5164261502400} is an apocalyptic number.

5164261502400 is a gapful number since it is divisible by the number (50) 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 5164261502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13236870786048).

5164261502400 is an abundant number, since it is smaller than the sum of its proper divisors (21309480069696).

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

5164261502400 is a wasteful number, since it uses less digits than its factorization.

5164261502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 5164261 and 502400, that added together give a triangular number (5666661 = T₃₃₆₆).

The spelling of 5164261502400 in words is "five trillion, one hundred sixty-four billion, two hundred sixty-one million, five hundred two thousand, four hundred".