54757488240 has 960 divisors, whose sum is σ = 250285230720. Its totient is φ = 10868981760.

The previous prime is 54757488209. The next prime is 54757488271. The reversal of 54757488240 is 4288475745.

54757488240 is a `hidden beast` number, since 5 + 47 + 574 + 8 + 8 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54757488209) and next prime (54757488271).

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 191 ways as a sum of consecutive naturals, for example, 23389470 + ... + 23391810.

It is an arithmetic number, because the mean of its divisors is an integer number (260713782).

Almost surely, 2^54757488240 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 54757488240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125142615360).

54757488240 is an abundant number, since it is smaller than the sum of its proper divisors (195527742480).

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

54757488240 is a wasteful number, since it uses less digits than its factorization.

54757488240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 10035200, while the sum is 54.

The spelling of 54757488240 in words is "fifty-four billion, seven hundred fifty-seven million, four hundred eighty-eight thousand, two hundred forty".