5460352560 has 400 divisors, whose sum is σ = 20825792064. Its totient is φ = 1317648384.

The previous prime is 5460352531. The next prime is 5460352607. The reversal of 5460352560 is 652530645.

It is a happy number.

5460352560 is a `hidden beast` number, since 5 + 4 + 60 + 35 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4464109 + ... + 4465331.

Almost surely, 2^5460352560 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 5460352560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10412896032).

5460352560 is an abundant number, since it is smaller than the sum of its proper divisors (15365439504).

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

5460352560 is a wasteful number, since it uses less digits than its factorization.

5460352560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 5460352560 is about 73894.1984190911. The cubic root of 5460352560 is about 1760.9224417258.

The spelling of 5460352560 in words is "five billion, four hundred sixty million, three hundred fifty-two thousand, five hundred sixty".