5298972134400 has 2112 divisors, whose sum is σ = 24579972495360. Its totient is φ = 1089994752000.

The previous prime is 5298972134381. The next prime is 5298972134437. The reversal of 5298972134400 is 44312798925.

5298972134400 is a `hidden beast` number, since 5 + 2 + 98 + 97 + 21 + 3 + 440 + 0 = 666.

It is a super-2 number, since 2×5298972134400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1891813000 + ... + 1891815800.

Almost surely, 2^{5298972134400} is an apocalyptic number.

5298972134400 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 5298972134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12289986247680).

5298972134400 is an abundant number, since it is smaller than the sum of its proper divisors (19281000360960).

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

5298972134400 is a wasteful number, since it uses less digits than its factorization.

5298972134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2887 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 5298972134400 in words is "five trillion, two hundred ninety-eight billion, nine hundred seventy-two million, one hundred thirty-four thousand, four hundred".