51353290137600 has 1344 divisors, whose sum is σ = 217926760366080. Its totient is φ = 11716735795200.

The previous prime is 51353290137557. The next prime is 51353290137607. The reversal of 51353290137600 is 673109235315.

51353290137600 is a `hidden beast` number, since 5 + 1 + 3 + 5 + 3 + 2 + 9 + 0 + 1 + 37 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51353290137607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1034010369 + ... + 1034060031.

Almost surely, 2^{51353290137600} is an apocalyptic number.

51353290137600 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 51353290137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108963380183040).

51353290137600 is an abundant number, since it is smaller than the sum of its proper divisors (166573470228480).

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

51353290137600 is a wasteful number, since it uses less digits than its factorization.

51353290137600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49736 (or 49701 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The spelling of 51353290137600 in words is "fifty-one trillion, three hundred fifty-three billion, two hundred ninety million, one hundred thirty-seven thousand, six hundred".