54796909440 has 1024 divisors, whose sum is σ = 226710650880. Its totient is φ = 10948608000.

The previous prime is 54796909423. The next prime is 54796909463. The reversal of 54796909440 is 4490969745.

It is a super-2 number, since 2×54796909440² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 362893365 + ... + 362893515.

It is an arithmetic number, because the mean of its divisors is an integer number (221397120).

Almost surely, 2^54796909440 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 54796909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113355325440).

54796909440 is an abundant number, since it is smaller than the sum of its proper divisors (171913741440).

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

54796909440 is a wasteful number, since it uses less digits than its factorization.

54796909440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 54796909440 in words is "fifty-four billion, seven hundred ninety-six million, nine hundred nine thousand, four hundred forty".