51154153297632 has 1152 divisors, whose sum is σ = 192553861893120. Its totient is φ = 12492361728000.

The previous prime is 51154153297627. The next prime is 51154153297669. The reversal of 51154153297632 is 23679235145115.

51154153297632 is a `hidden beast` number, since 5 + 1 + 1 + 5 + 4 + 1 + 532 + 9 + 76 + 32 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17217821907 + ... + 17217824877.

It is an arithmetic number, because the mean of its divisors is an integer number (167147449560).

Almost surely, 2^{51154153297632} 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 51154153297632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96276930946560).

51154153297632 is an abundant number, since it is smaller than the sum of its proper divisors (141399708595488).

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

51154153297632 is a wasteful number, since it uses less digits than its factorization.

51154153297632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728 (or 3717 counting only the distinct ones).

The product of its digits is 6804000, while the sum is 54.

The spelling of 51154153297632 in words is "fifty-one trillion, one hundred fifty-four billion, one hundred fifty-three million, two hundred ninety-seven thousand, six hundred thirty-two".