50902292148960 has 1152 divisors, whose sum is σ = 201096135475200. Its totient is φ = 10589060689920.

The previous prime is 50902292148959. The next prime is 50902292148973. The reversal of 50902292148960 is 6984129220905.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 50902292148960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5226639771 + ... + 5226649509.

It is an arithmetic number, because the mean of its divisors is an integer number (174562617600).

Almost surely, 2^{50902292148960} 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 50902292148960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100548067737600).

50902292148960 is an abundant number, since it is smaller than the sum of its proper divisors (150193843326240).

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

50902292148960 is a wasteful number, since it uses less digits than its factorization.

50902292148960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9972 (or 9945 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 57.

The spelling of 50902292148960 in words is "fifty trillion, nine hundred two billion, two hundred ninety-two million, one hundred forty-eight thousand, nine hundred sixty".