101416655465280 has 560 divisors, whose sum is σ = 362229527447040. Its totient is φ = 26934151974912.

The previous prime is 101416655465269. The next prime is 101416655465299. The reversal of 101416655465280 is 82564556614101.

101416655465280 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 1 + 6 + 6 + 554 + 6 + 5 + 2 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22805632017 + ... + 22805636463.

Almost surely, 2^{101416655465280} is an apocalyptic number.

101416655465280 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 101416655465280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181114763723520).

101416655465280 is an abundant number, since it is smaller than the sum of its proper divisors (260812871981760).

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

101416655465280 is a wasteful number, since it uses less digits than its factorization.

101416655465280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7868 (or 7849 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 101416655465280 in words is "one hundred one trillion, four hundred sixteen billion, six hundred fifty-five million, four hundred sixty-five thousand, two hundred eighty".