52762123440 has 480 divisors, whose sum is σ = 209548213056. Its totient is φ = 12222627840.

The previous prime is 52762123433. The next prime is 52762123471. The reversal of 52762123440 is 4432126725.

52762123440 is a `hidden beast` number, since 5 + 2 + 7 + 621 + 23 + 4 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 52762123395 and 52762123404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4290100 + ... + 4302380.

Almost surely, 2^52762123440 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 52762123440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104774106528).

52762123440 is an abundant number, since it is smaller than the sum of its proper divisors (156786089616).

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

52762123440 is a wasteful number, since it uses less digits than its factorization.

52762123440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12339 (or 12321 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 52762123440 in words is "fifty-two billion, seven hundred sixty-two million, one hundred twenty-three thousand, four hundred forty".