52070413824 has 480 divisors, whose sum is σ = 185888102400. Its totient is φ = 13795246080.

The previous prime is 52070413817. The next prime is 52070413831. The reversal of 52070413824 is 42831407025.

It is a happy number.

52070413824 is a `hidden beast` number, since 520 + 70 + 41 + 3 + 8 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (52070413817) and next prime (52070413831).

It is a super-2 number, since 2×52070413824² (a number of 22 digits) contains 22 as substring.

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

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, 12517857 + ... + 12522015.

It is an arithmetic number, because the mean of its divisors is an integer number (387266880).

Almost surely, 2^52070413824 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 52070413824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92944051200).

52070413824 is an abundant number, since it is smaller than the sum of its proper divisors (133817688576).

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

52070413824 is a wasteful number, since it uses less digits than its factorization.

52070413824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4226 (or 4207 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 52070413824 in words is "fifty-two billion, seventy million, four hundred thirteen thousand, eight hundred twenty-four".