5460407858928 has 320 divisors, whose sum is σ = 16587224064000. Its totient is φ = 1530245882880.

The previous prime is 5460407858881. The next prime is 5460407858929. The reversal of 5460407858928 is 8298587040645.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5460407858929) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105781701 + ... + 105833307.

It is an arithmetic number, because the mean of its divisors is an integer number (51835075200).

Almost surely, 2^{5460407858928} 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 5460407858928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8293612032000).

5460407858928 is an abundant number, since it is smaller than the sum of its proper divisors (11126816205072).

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

5460407858928 is a wasteful number, since it uses less digits than its factorization.

5460407858928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51900 (or 51894 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 66.

The spelling of 5460407858928 in words is "five trillion, four hundred sixty billion, four hundred seven million, eight hundred fifty-eight thousand, nine hundred twenty-eight".