66890377113120 has 768 divisors, whose sum is σ = 260407412697600. Its totient is φ = 15898339491840.

The previous prime is 66890377113089. The next prime is 66890377113151. The reversal of 66890377113120 is 2131177309866.

66890377113120 is a `hidden beast` number, since 6 + 68 + 90 + 377 + 1 + 1 + 3 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (66890377113089) and next prime (66890377113151).

It is a super-2 number, since 2×66890377113120² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3760201186 + ... + 3760218974.

It is an arithmetic number, because the mean of its divisors is an integer number (339072151950).

Almost surely, 2^{66890377113120} is an apocalyptic number.

66890377113120 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 66890377113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130203706348800).

66890377113120 is an abundant number, since it is smaller than the sum of its proper divisors (193517035584480).

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

66890377113120 is a wasteful number, since it uses less digits than its factorization.

66890377113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19370 (or 19356 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 66890377113120 in words is "sixty-six trillion, eight hundred ninety billion, three hundred seventy-seven million, one hundred thirteen thousand, one hundred twenty".