53054613540 has 144 divisors (see below), whose sum is σ = 170499249648. Its totient is φ = 13307830272.

The previous prime is 53054613533. The next prime is 53054613551. The reversal of 53054613540 is 4531645035.

53054613540 is a `hidden beast` number, since 5 + 3 + 0 + 54 + 61 + 3 + 540 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 58890276 + 52995723264 = 7674^2 + 230208^2 .

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 = 53054613495 and 53054613504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6584154 + ... + 6592206.

It is an arithmetic number, because the mean of its divisors is an integer number (1184022567).

Almost surely, 2^53054613540 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 53054613540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85249624824).

53054613540 is an abundant number, since it is smaller than the sum of its proper divisors (117444636108).

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

53054613540 is a wasteful number, since it uses less digits than its factorization.

53054613540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10238 (or 10233 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 53054613540 in words is "fifty-three billion, fifty-four million, six hundred thirteen thousand, five hundred forty".