51165437784048 has 320 divisors, whose sum is σ = 174060782730240. Its totient is φ = 14262140136960.

The previous prime is 51165437783989. The next prime is 51165437784079. The reversal of 51165437784048 is 84048773456115.

51165437784048 is a `hidden beast` number, since 5 + 1 + 1 + 6 + 543 + 7 + 7 + 8 + 40 + 48 = 666.

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 63 ways as a sum of consecutive naturals, for example, 7495311 + ... + 12590097.

It is an arithmetic number, because the mean of its divisors is an integer number (543939946032).

Almost surely, 2^{51165437784048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51165437784048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87030391365120).

51165437784048 is an abundant number, since it is smaller than the sum of its proper divisors (122895344946192).

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

51165437784048 is an equidigital number, since it uses as much as digits as its factorization.

51165437784048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5094864 (or 5094840 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 51165437784048 in words is "fifty-one trillion, one hundred sixty-five billion, four hundred thirty-seven million, seven hundred eighty-four thousand, forty-eight".