5415085591680 has 256 divisors, whose sum is σ = 17846096256000. Its totient is φ = 1395562954752.

The previous prime is 5415085591649. The next prime is 5415085591757. The reversal of 5415085591680 is 861955805145.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5415085591680.

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, 10329169 + ... + 10840751.

It is an arithmetic number, because the mean of its divisors is an integer number (69711313500).

Almost surely, 2^{5415085591680} 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 5415085591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8923048128000).

5415085591680 is an abundant number, since it is smaller than the sum of its proper divisors (12431010664320).

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

5415085591680 is a wasteful number, since it uses less digits than its factorization.

5415085591680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511791 (or 511779 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 57.

The spelling of 5415085591680 in words is "five trillion, four hundred fifteen billion, eighty-five million, five hundred ninety-one thousand, six hundred eighty".