5349899570400 has 1296 divisors, whose sum is σ = 24824085406848. Its totient is φ = 1053119232000.

The previous prime is 5349899570383. The next prime is 5349899570417. The reversal of 5349899570400 is 40759989435.

5349899570400 is a `hidden beast` number, since 5 + 3 + 4 + 98 + 99 + 57 + 0 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (5349899570383) and next prime (5349899570417).

It is a super-2 number, since 2×5349899570400² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 200125035 + ... + 200151765.

It is an arithmetic number, because the mean of its divisors is an integer number (19154386888).

Almost surely, 2^{5349899570400} is an apocalyptic number.

5349899570400 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 5349899570400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12412042703424).

5349899570400 is an abundant number, since it is smaller than the sum of its proper divisors (19474185836448).

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

5349899570400 is a wasteful number, since it uses less digits than its factorization.

5349899570400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26813 (or 26778 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 5349899570400 in words is "five trillion, three hundred forty-nine billion, eight hundred ninety-nine million, five hundred seventy thousand, four hundred".