53120471040 has 624 divisors, whose sum is σ = 226691232768. Its totient is φ = 11204296704.

The previous prime is 53120471009. The next prime is 53120471071. The reversal of 53120471040 is 4017402135.

53120471040 is a `hidden beast` number, since 531 + 20 + 4 + 7 + 104 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (53120471009) and next prime (53120471071).

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×53120471040² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53120470995 and 53120471013.

It is a congruent number.

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, 16771537 + ... + 16774703.

It is an arithmetic number, because the mean of its divisors is an integer number (363287232).

Almost surely, 2^53120471040 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 53120471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113345616384).

53120471040 is an abundant number, since it is smaller than the sum of its proper divisors (173570761728).

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

53120471040 is a wasteful number, since it uses less digits than its factorization.

53120471040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3222 (or 3197 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 53120471040 its reverse (4017402135), we get a palindrome (57137873175).

The spelling of 53120471040 in words is "fifty-three billion, one hundred twenty million, four hundred seventy-one thousand, forty".