54713917440 has 1008 divisors, whose sum is σ = 238619967768. Its totient is φ = 11494490112.

The previous prime is 54713917429. The next prime is 54713917457. The reversal of 54713917440 is 4471931745.

It is a happy number.

54713917440 is a `hidden beast` number, since 5 + 471 + 3 + 9 + 174 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25579524096 + 29134393344 = 159936^2 + 170688^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×54713917440² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 234823564 + ... + 234823796.

Almost surely, 2^54713917440 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 54713917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119309983884).

54713917440 is an abundant number, since it is smaller than the sum of its proper divisors (183906050328).

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

54713917440 is a wasteful number, since it uses less digits than its factorization.

54713917440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 54713917440 in words is "fifty-four billion, seven hundred thirteen million, nine hundred seventeen thousand, four hundred forty".