52191842514240 has 2688 divisors, whose sum is σ = 210890797350912. Its totient is φ = 10843176960000.

The previous prime is 52191842514143. The next prime is 52191842514307. The reversal of 52191842514240 is 4241524819125.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 52191842514240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 136271129089 + ... + 136271129471.

It is an arithmetic number, because the mean of its divisors is an integer number (78456397824).

Almost surely, 2^{52191842514240} 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 52191842514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105445398675456).

52191842514240 is an abundant number, since it is smaller than the sum of its proper divisors (158698954836672).

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

52191842514240 is a wasteful number, since it uses less digits than its factorization.

52191842514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 52191842514240 in words is "fifty-two trillion, one hundred ninety-one billion, eight hundred forty-two million, five hundred fourteen thousand, two hundred forty".