5460922293120 has 768 divisors, whose sum is σ = 22511228313600. Its totient is φ = 1193442066432.

The previous prime is 5460922293097. The next prime is 5460922293131. The reversal of 5460922293120 is 213922290645.

5460922293120 is a `hidden beast` number, since 5 + 4 + 609 + 2 + 2 + 2 + 9 + 31 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120413169 + ... + 120458511.

It is an arithmetic number, because the mean of its divisors is an integer number (29311495200).

Almost surely, 2^{5460922293120} 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 5460922293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11255614156800).

5460922293120 is an abundant number, since it is smaller than the sum of its proper divisors (17050306020480).

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

5460922293120 is a wasteful number, since it uses less digits than its factorization.

5460922293120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45507 (or 45492 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 5460922293120 in words is "five trillion, four hundred sixty billion, nine hundred twenty-two million, two hundred ninety-three thousand, one hundred twenty".