51093954912000 has 2304 divisors, whose sum is σ = 229582814662656. Its totient is φ = 9726197760000.

The previous prime is 51093954911957. The next prime is 51093954912001. The reversal of 51093954912000 is 21945939015.

It is a super-2 number, since 2×51093954912000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51093954912001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13165150060 + ... + 13165153940.

It is an arithmetic number, because the mean of its divisors is an integer number (99645318864).

Almost surely, 2^{51093954912000} is an apocalyptic number.

51093954912000 is a gapful number since it is divisible by the number (50) 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 51093954912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114791407331328).

51093954912000 is an abundant number, since it is smaller than the sum of its proper divisors (178488859750656).

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

51093954912000 is a wasteful number, since it uses less digits than its factorization.

51093954912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4083 (or 4059 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 48.

The spelling of 51093954912000 in words is "fifty-one trillion, ninety-three billion, nine hundred fifty-four million, nine hundred twelve thousand".