5213702145600 has 1008 divisors, whose sum is σ = 20660392316928. Its totient is φ = 1238645882880.

The previous prime is 5213702145581. The next prime is 5213702145667. The reversal of 5213702145600 is 65412073125.

5213702145600 is a `hidden beast` number, since 5 + 2 + 1 + 3 + 7 + 0 + 2 + 1 + 45 + 600 = 666.

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 143 ways as a sum of consecutive naturals, for example, 879649837 + ... + 879655763.

Almost surely, 2^{5213702145600} is an apocalyptic number.

5213702145600 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 5213702145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10330196158464).

5213702145600 is an abundant number, since it is smaller than the sum of its proper divisors (15446690171328).

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

5213702145600 is a wasteful number, since it uses less digits than its factorization.

5213702145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6132 (or 6114 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 5213702145600 in words is "five trillion, two hundred thirteen billion, seven hundred two million, one hundred forty-five thousand, six hundred".