5398956713952 has 672 divisors, whose sum is σ = 17374679159040. Its totient is φ = 1643963351040.

The previous prime is 5398956713951. The next prime is 5398956713971. The reversal of 5398956713952 is 2593176598935.

It is a happy number.

5398956713952 is a `hidden beast` number, since 5 + 3 + 9 + 8 + 9 + 567 + 1 + 3 + 9 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5398956713951) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3625893624 + ... + 3625895112.

It is an arithmetic number, because the mean of its divisors is an integer number (25855177320).

Almost surely, 2^{5398956713952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5398956713952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8687339579520).

5398956713952 is an abundant number, since it is smaller than the sum of its proper divisors (11975722445088).

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

5398956713952 is a wasteful number, since it uses less digits than its factorization.

5398956713952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1775 counting only the distinct ones).

The product of its digits is 551124000, while the sum is 72.

The spelling of 5398956713952 in words is "five trillion, three hundred ninety-eight billion, nine hundred fifty-six million, seven hundred thirteen thousand, nine hundred fifty-two".