51403350309696 has 3584 divisors, whose sum is σ = 215066880000000. Its totient is φ = 11880633139200.

The previous prime is 51403350309683. The next prime is 51403350309721. The reversal of 51403350309696 is 69690305330415.

51403350309696 is a `hidden beast` number, since 5 + 1 + 40 + 3 + 3 + 503 + 0 + 9 + 6 + 96 = 666.

It is a super-2 number, since 2×51403350309696² (a number of 28 digits) contains 22 as substring.

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 511 ways as a sum of consecutive naturals, for example, 147287536530 + ... + 147287536878.

It is an arithmetic number, because the mean of its divisors is an integer number (60007500000).

Almost surely, 2^{51403350309696} is an apocalyptic number.

51403350309696 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 51403350309696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107533440000000).

51403350309696 is an abundant number, since it is smaller than the sum of its proper divisors (163663529690304).

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

51403350309696 is a wasteful number, since it uses less digits than its factorization.

51403350309696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 7873200, while the sum is 54.

The spelling of 51403350309696 in words is "fifty-one trillion, four hundred three billion, three hundred fifty million, three hundred nine thousand, six hundred ninety-six".