51951168412416 has 3456 divisors, whose sum is σ = 208181042872320. Its totient is φ = 12799480135680.

The previous prime is 51951168412397. The next prime is 51951168412459. The reversal of 51951168412416 is 61421486115915.

51951168412416 is a `hidden beast` number, since 5 + 1 + 9 + 51 + 168 + 4 + 12 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 409064318145 + ... + 409064318271.

Almost surely, 2^{51951168412416} is an apocalyptic number.

51951168412416 is a gapful number since it is divisible by the number (56) 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 51951168412416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104090521436160).

51951168412416 is an abundant number, since it is smaller than the sum of its proper divisors (156229874459904).

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

51951168412416 is a wasteful number, since it uses less digits than its factorization.

51951168412416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 220 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 54.

The spelling of 51951168412416 in words is "fifty-one trillion, nine hundred fifty-one billion, one hundred sixty-eight million, four hundred twelve thousand, four hundred sixteen".