5460487097800 has 576 divisors, whose sum is σ = 15823815782400. Its totient is φ = 1741127270400.

The previous prime is 5460487097777. The next prime is 5460487097831. The reversal of 5460487097800 is 87907840645.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8653703485 + ... + 8653704115.

It is an arithmetic number, because the mean of its divisors is an integer number (27471902400).

Almost surely, 2^{5460487097800} is an apocalyptic number.

5460487097800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5460487097800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7911907891200).

5460487097800 is an abundant number, since it is smaller than the sum of its proper divisors (10363328684600).

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

5460487097800 is a wasteful number, since it uses less digits than its factorization.

5460487097800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 58.

The spelling of 5460487097800 in words is "five trillion, four hundred sixty billion, four hundred eighty-seven million, ninety-seven thousand, eight hundred".