54892464480 has 384 divisors, whose sum is σ = 220076559360. Its totient is φ = 12517908480.

The previous prime is 54892464479. The next prime is 54892464499. The reversal of 54892464480 is 8446429845.

It is a happy number.

54892464480 is a `hidden beast` number, since 5 + 4 + 89 + 24 + 64 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14845992 + ... + 14849688.

It is an arithmetic number, because the mean of its divisors is an integer number (573116040).

Almost surely, 2^54892464480 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 54892464480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110038279680).

54892464480 is an abundant number, since it is smaller than the sum of its proper divisors (165184094880).

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

54892464480 is a wasteful number, since it uses less digits than its factorization.

54892464480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4219 (or 4205 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 54892464480 in words is "fifty-four billion, eight hundred ninety-two million, four hundred sixty-four thousand, four hundred eighty".