101865000776256 has 1120 divisors, whose sum is σ = 338236472217600. Its totient is φ = 30209916764160.

The previous prime is 101865000776153. The next prime is 101865000776269. The reversal of 101865000776256 is 652677000568101.

It is a happy number.

101865000776256 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 6 + 5 + 0 + 0 + 0 + 7 + 7 + 625 + 6 = 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 159 ways as a sum of consecutive naturals, for example, 8104457140 + ... + 8104469708.

Almost surely, 2^{101865000776256} is an apocalyptic number.

101865000776256 is a gapful number since it is divisible by the number (16) 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 101865000776256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169118236108800).

101865000776256 is an abundant number, since it is smaller than the sum of its proper divisors (236371471441344).

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

101865000776256 is a wasteful number, since it uses less digits than its factorization.

101865000776256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12737 (or 12718 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 101865000776256 in words is "one hundred one trillion, eight hundred sixty-five billion, seven hundred seventy-six thousand, two hundred fifty-six".