54010938240 has 1024 divisors, whose sum is σ = 234067968000. Its totient is φ = 11496038400.

The previous prime is 54010938227. The next prime is 54010938287. The reversal of 54010938240 is 4283901045.

54010938240 is a `hidden beast` number, since 5 + 401 + 0 + 9 + 3 + 8 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 54010938195 and 54010938204.

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, 163174875 + ... + 163175205.

It is an arithmetic number, because the mean of its divisors is an integer number (228582000).

Almost surely, 2^54010938240 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 54010938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117033984000).

54010938240 is an abundant number, since it is smaller than the sum of its proper divisors (180057029760).

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

54010938240 is a wasteful number, since it uses less digits than its factorization.

54010938240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 54010938240 in words is "fifty-four billion, ten million, nine hundred thirty-eight thousand, two hundred forty".