51642955258272 has 576 divisors, whose sum is σ = 174416325947136. Its totient is φ = 14187644190720.

The previous prime is 51642955258091. The next prime is 51642955258291. The reversal of 51642955258272 is 27285255924615.

51642955258272 is a `hidden beast` number, since 5 + 1 + 6 + 4 + 2 + 9 + 552 + 5 + 8 + 2 + 72 = 666.

It is a super-2 number, since 2×51642955258272² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12085875528 + ... + 12085879800.

It is an arithmetic number, because the mean of its divisors is an integer number (302806121436).

Almost surely, 2^{51642955258272} 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 51642955258272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87208162973568).

51642955258272 is an abundant number, since it is smaller than the sum of its proper divisors (122773370688864).

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

51642955258272 is a wasteful number, since it uses less digits than its factorization.

51642955258272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6413 (or 6402 counting only the distinct ones).

The product of its digits is 120960000, while the sum is 63.

The spelling of 51642955258272 in words is "fifty-one trillion, six hundred forty-two billion, nine hundred fifty-five million, two hundred fifty-eight thousand, two hundred seventy-two".