66513990458160 has 320 divisors, whose sum is σ = 262230209049600. Its totient is φ = 15180125442048.

The previous prime is 66513990458129. The next prime is 66513990458203. The reversal of 66513990458160 is 6185409931566.

66513990458160 is a `hidden beast` number, since 6 + 6 + 5 + 1 + 39 + 90 + 458 + 1 + 60 = 666.

It is a super-2 number, since 2×66513990458160² (a number of 28 digits) contains 22 as substring.

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

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, 6626392 + ... + 13301768.

It is an arithmetic number, because the mean of its divisors is an integer number (819469403280).

Almost surely, 2^{66513990458160} is an apocalyptic number.

66513990458160 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 66513990458160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131115104524800).

66513990458160 is an abundant number, since it is smaller than the sum of its proper divisors (195716218591440).

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

66513990458160 is a wasteful number, since it uses less digits than its factorization.

66513990458160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6676065 (or 6676053 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 66513990458160 in words is "sixty-six trillion, five hundred thirteen billion, nine hundred ninety million, four hundred fifty-eight thousand, one hundred sixty".