5136474083400 has 576 divisors, whose sum is σ = 19122572327040. Its totient is φ = 1225136640000.

The previous prime is 5136474083369. The next prime is 5136474083417. The reversal of 5136474083400 is 43804746315.

5136474083400 is a `hidden beast` number, since 5 + 136 + 474 + 0 + 8 + 3 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 732418294 + ... + 732425306.

It is an arithmetic number, because the mean of its divisors is an integer number (33198910290).

Almost surely, 2^{5136474083400} is an apocalyptic number.

5136474083400 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 5136474083400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9561286163520).

5136474083400 is an abundant number, since it is smaller than the sum of its proper divisors (13986098243640).

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

5136474083400 is a wasteful number, since it uses less digits than its factorization.

5136474083400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7638 (or 7626 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 5136474083400 in words is "five trillion, one hundred thirty-six billion, four hundred seventy-four million, eighty-three thousand, four hundred".