51357956003550 has 960 divisors, whose sum is σ = 174659753917440. Its totient is φ = 10934265323520.

The previous prime is 51357956003461. The next prime is 51357956003587. The reversal of 51357956003550 is 5530065975315.

It is a happy number.

51357956003550 is a `hidden beast` number, since 5 + 1 + 3 + 5 + 79 + 560 + 0 + 3 + 5 + 5 + 0 = 666.

It is a super-2 number, since 2×51357956003550² (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 479 ways as a sum of consecutive naturals, for example, 9897464356 + ... + 9897469544.

It is an arithmetic number, because the mean of its divisors is an integer number (181937243664).

Almost surely, 2^{51357956003550} is an apocalyptic number.

51357956003550 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 51357956003550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87329876958720).

51357956003550 is an abundant number, since it is smaller than the sum of its proper divisors (123301797913890).

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

51357956003550 is a wasteful number, since it uses less digits than its factorization.

51357956003550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5639 (or 5625 counting only the distinct ones).

The product of its (nonzero) digits is 10631250, while the sum is 54.

The spelling of 51357956003550 in words is "fifty-one trillion, three hundred fifty-seven billion, nine hundred fifty-six million, three thousand, five hundred fifty".