51742855987200 has 3060 divisors, whose sum is σ = 228114523997580. Its totient is φ = 11557907988480.

The previous prime is 51742855987189. The next prime is 51742855987211. The reversal of 51742855987200 is 278955824715.

51742855987200 is a `hidden beast` number, since 5 + 1 + 7 + 4 + 2 + 8 + 559 + 8 + 72 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (51742855987189) and next prime (51742855987211).

It can be written as a sum of positive squares in 6 ways, for example, as 2341011456 + 51740514975744 = 48384^2 + 7193088^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 474705100746 + ... + 474705100854.

Almost surely, 2^{51742855987200} is an apocalyptic number.

51742855987200 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 51742855987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114057261998790).

51742855987200 is an abundant number, since it is smaller than the sum of its proper divisors (176371668010380).

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

51742855987200 is an equidigital number, since it uses as much as digits as its factorization.

51742855987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 56448000, while the sum is 63.

The spelling of 51742855987200 in words is "fifty-one trillion, seven hundred forty-two billion, eight hundred fifty-five million, nine hundred eighty-seven thousand, two hundred".