66110558400 has 336 divisors, whose sum is σ = 241929594880. Its totient is φ = 17561318400.

The previous prime is 66110558359. The next prime is 66110558483. The reversal of 66110558400 is 485501166.

66110558400 is a `hidden beast` number, since 6 + 61 + 1 + 0 + 558 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11704377 + ... + 11710023.

Almost surely, 2^66110558400 is an apocalyptic number.

66110558400 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 66110558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120964797440).

66110558400 is an abundant number, since it is smaller than the sum of its proper divisors (175819036480).

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

66110558400 is a wasteful number, since it uses less digits than its factorization.

66110558400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5949 (or 5928 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 66110558400 in words is "sixty-six billion, one hundred ten million, five hundred fifty-eight thousand, four hundred".