66151269682560 has 320 divisors, whose sum is σ = 236264468497200. Its totient is φ = 17638371717120.

The previous prime is 66151269682541. The next prime is 66151269682601. The reversal of 66151269682560 is 6528696215166.

66151269682560 is a `hidden beast` number, since 6 + 6 + 1 + 5 + 1 + 2 + 6 + 9 + 68 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×66151269682560² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 498582630 + ... + 498715290.

Almost surely, 2^{66151269682560} is an apocalyptic number.

66151269682560 is a gapful number since it is divisible by the number (60) 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 66151269682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118132234248600).

66151269682560 is an abundant number, since it is smaller than the sum of its proper divisors (170113198814640).

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

66151269682560 is a wasteful number, since it uses less digits than its factorization.

66151269682560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142311 (or 142290 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 66151269682560 in words is "sixty-six trillion, one hundred fifty-one billion, two hundred sixty-nine million, six hundred eighty-two thousand, five hundred sixty".