51453276350112 has 864 divisors, whose sum is σ = 198356548021632. Its totient is φ = 12980061997056.

The previous prime is 51453276350081. The next prime is 51453276350269. The reversal of 51453276350112 is 21105367235415.

51453276350112 is a `hidden beast` number, since 5 + 1 + 4 + 5 + 3 + 2 + 7 + 635 + 0 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 113700358 + ... + 114151994.

It is an arithmetic number, because the mean of its divisors is an integer number (229579337988).

Almost surely, 2^{51453276350112} is an apocalyptic number.

51453276350112 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 51453276350112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99178274010816).

51453276350112 is an abundant number, since it is smaller than the sum of its proper divisors (146903271671520).

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

51453276350112 is a wasteful number, since it uses less digits than its factorization.

51453276350112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451712 (or 451685 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 51453276350112 in words is "fifty-one trillion, four hundred fifty-three billion, two hundred seventy-six million, three hundred fifty thousand, one hundred twelve".