51166335467520 has 1840 divisors, whose sum is σ = 226455344911488. Its totient is φ = 10762919608320.

The previous prime is 51166335467503. The next prime is 51166335467537. The reversal of 51166335467520 is 2576453366115.

51166335467520 is a `hidden beast` number, since 5 + 1 + 1 + 6 + 6 + 3 + 3 + 54 + 67 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (51166335467503) and next prime (51166335467537).

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 79 ways as a sum of consecutive naturals, for example, 154581073755 + ... + 154581074085.

Almost surely, 2^{51166335467520} 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 51166335467520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113227672455744).

51166335467520 is an abundant number, since it is smaller than the sum of its proper divisors (175289009443968).

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

51166335467520 is an frugal number, since it uses more digits than its factorization.

51166335467520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 51166335467520 in words is "fifty-one trillion, one hundred sixty-six billion, three hundred thirty-five million, four hundred sixty-seven thousand, five hundred twenty".