101665064476800 has 3840 divisors, whose sum is σ = 461092953340800. Its totient is φ = 21737963520000.

The previous prime is 101665064476771. The next prime is 101665064476867. The reversal of 101665064476800 is 8674460566101.

101665064476800 is a `hidden beast` number, since 1 + 0 + 1 + 66 + 50 + 64 + 476 + 8 + 0 + 0 = 666.

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 479 ways as a sum of consecutive naturals, for example, 93014697054 + ... + 93014698146.

Almost surely, 2^{101665064476800} is an apocalyptic number.

101665064476800 is a gapful number since it is divisible by the number (10) 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 101665064476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230546476670400).

101665064476800 is an abundant number, since it is smaller than the sum of its proper divisors (359427888864000).

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

101665064476800 is a wasteful number, since it uses less digits than its factorization.

101665064476800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 101665064476800 in words is "one hundred one trillion, six hundred sixty-five billion, sixty-four million, four hundred seventy-six thousand, eight hundred".