51657271342584 has 256 divisors, whose sum is σ = 142579816980480. Its totient is φ = 15530660167680.

The previous prime is 51657271342583. The next prime is 51657271342609. The reversal of 51657271342584 is 48524317275615.

It is a super-2 number, since 2×51657271342584² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51657271342583) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 244510404 + ... + 244721580.

It is an arithmetic number, because the mean of its divisors is an integer number (556952410080).

Almost surely, 2^{51657271342584} 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 51657271342584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71289908490240).

51657271342584 is an abundant number, since it is smaller than the sum of its proper divisors (90922545637896).

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

51657271342584 is a wasteful number, since it uses less digits than its factorization.

51657271342584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211510 (or 211506 counting only the distinct ones).

The product of its digits is 56448000, while the sum is 60.

The spelling of 51657271342584 in words is "fifty-one trillion, six hundred fifty-seven billion, two hundred seventy-one million, three hundred forty-two thousand, five hundred eighty-four".