51520376638080 has 1152 divisors, whose sum is σ = 212756243431680. Its totient is φ = 11446459121664.

The previous prime is 51520376638033. The next prime is 51520376638141. The reversal of 51520376638080 is 8083667302515.

51520376638080 is a `hidden beast` number, since 5 + 1 + 520 + 3 + 7 + 6 + 6 + 38 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14860216507 + ... + 14860219973.

It is an arithmetic number, because the mean of its divisors is an integer number (184684239090).

Almost surely, 2^{51520376638080} 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 51520376638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106378121715840).

51520376638080 is an abundant number, since it is smaller than the sum of its proper divisors (161235866793600).

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

51520376638080 is a wasteful number, since it uses less digits than its factorization.

51520376638080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4966 (or 4944 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 51520376638080 in words is "fifty-one trillion, five hundred twenty billion, three hundred seventy-six million, six hundred thirty-eight thousand, eighty".