5415881872896 has 480 divisors, whose sum is σ = 17658635623200. Its totient is φ = 1583765913600.

The previous prime is 5415881872853. The next prime is 5415881872987. The reversal of 5415881872896 is 6982781885145.

5415881872896 is a `hidden beast` number, since 5 + 4 + 1 + 588 + 18 + 7 + 28 + 9 + 6 = 666.

It is a super-2 number, since 2×5415881872896² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163857780 + ... + 163890828.

It is an arithmetic number, because the mean of its divisors is an integer number (36788824215).

Almost surely, 2^{5415881872896} 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 5415881872896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8829317811600).

5415881872896 is an abundant number, since it is smaller than the sum of its proper divisors (12242753750304).

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

5415881872896 is a wasteful number, since it uses less digits than its factorization.

5415881872896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33198 (or 33179 counting only the distinct ones).

The product of its digits is 309657600, while the sum is 72.

The spelling of 5415881872896 in words is "five trillion, four hundred fifteen billion, eight hundred eighty-one million, eight hundred seventy-two thousand, eight hundred ninety-six".