51526900992 has 432 divisors, whose sum is σ = 170120321280. Its totient is φ = 13757054976.

The previous prime is 51526900979. The next prime is 51526901011. The reversal of 51526900992 is 29900962515.

It is a happy number.

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

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, 152898648 + ... + 152898984.

It is an arithmetic number, because the mean of its divisors is an integer number (393797040).

Almost surely, 2^51526900992 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 51526900992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85060160640).

51526900992 is an abundant number, since it is smaller than the sum of its proper divisors (118593420288).

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

51526900992 is a wasteful number, since it uses less digits than its factorization.

51526900992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 48.

The spelling of 51526900992 in words is "fifty-one billion, five hundred twenty-six million, nine hundred thousand, nine hundred ninety-two".