51225577920 has 672 divisors, whose sum is σ = 202101419520. Its totient is φ = 11788001280.

The previous prime is 51225577901. The next prime is 51225577937. The reversal of 51225577920 is 2977552215.

51225577920 is a `hidden beast` number, since 5 + 1 + 2 + 2 + 557 + 7 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 166858407 + ... + 166858713.

It is an arithmetic number, because the mean of its divisors is an integer number (300746160).

Almost surely, 2^51225577920 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 51225577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101050709760).

51225577920 is an abundant number, since it is smaller than the sum of its proper divisors (150875841600).

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

51225577920 is a wasteful number, since it uses less digits than its factorization.

51225577920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The spelling of 51225577920 in words is "fifty-one billion, two hundred twenty-five million, five hundred seventy-seven thousand, nine hundred twenty".