5431874152320 has 3840 divisors, whose sum is σ = 27230282956800. Its totient is φ = 1003768381440.

The previous prime is 5431874152307. The next prime is 5431874152333. The reversal of 5431874152320 is 232514781345.

5431874152320 is a `hidden beast` number, since 5 + 4 + 3 + 1 + 87 + 41 + 523 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5431874152307) and next prime (5431874152333).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a super-2 number, since 2×5431874152320² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 14182438849 + ... + 14182439231.

It is an arithmetic number, because the mean of its divisors is an integer number (7091219520).

Almost surely, 2^{5431874152320} 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 5431874152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13615141478400).

5431874152320 is an abundant number, since it is smaller than the sum of its proper divisors (21798408804480).

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

5431874152320 is a wasteful number, since it uses less digits than its factorization.

5431874152320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 5431874152320 in words is "five trillion, four hundred thirty-one billion, eight hundred seventy-four million, one hundred fifty-two thousand, three hundred twenty".