5416977631752 has 128 divisors (see below), whose sum is σ = 15247041264000. Its totient is φ = 1781726595840.

The previous prime is 5416977631693. The next prime is 5416977631873. The reversal of 5416977631752 is 2571367796145.

5416977631752 is a `hidden beast` number, since 5 + 416 + 97 + 7 + 63 + 1 + 75 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5416977631752.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14534874 + ... + 14902902.

It is an arithmetic number, because the mean of its divisors is an integer number (119117509875).

Almost surely, 2^{5416977631752} 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 5416977631752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7623520632000).

5416977631752 is an abundant number, since it is smaller than the sum of its proper divisors (9830063632248).

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

5416977631752 is a wasteful number, since it uses less digits than its factorization.

5416977631752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368948 (or 368938 counting only the distinct ones).

The product of its digits is 66679200, while the sum is 63.

The spelling of 5416977631752 in words is "five trillion, four hundred sixteen billion, nine hundred seventy-seven million, six hundred thirty-one thousand, seven hundred fifty-two".