51400954332 has 216 divisors, whose sum is σ = 163064009472. Its totient is φ = 13531795200.

The previous prime is 51400954261. The next prime is 51400954349. The reversal of 51400954332 is 23345900415.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15156357 + ... + 15159747.

Almost surely, 2^51400954332 is an apocalyptic number.

51400954332 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51400954332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81532004736).

51400954332 is an abundant number, since it is smaller than the sum of its proper divisors (111663055140).

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

51400954332 is a wasteful number, since it uses less digits than its factorization.

51400954332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4089 (or 4077 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 51400954332 in words is "fifty-one billion, four hundred million, nine hundred fifty-four thousand, three hundred thirty-two".