256101912000 has 2240 divisors, whose sum is σ = 1141475512320. Its totient is φ = 55987200000.

The previous prime is 256101911983. The next prime is 256101912013. The reversal of 256101912000 is 219101652.

256101912000 is a `hidden beast` number, since 25 + 610 + 1 + 9 + 1 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4198391970 + ... + 4198392030.

Almost surely, 2^256101912000 is an apocalyptic number.

256101912000 is a gapful number since it is divisible by the number (20) 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 256101912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570737756160).

256101912000 is an abundant number, since it is smaller than the sum of its proper divisors (885373600320).

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

256101912000 is a wasteful number, since it uses less digits than its factorization.

256101912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 256101912000 in words is "two hundred fifty-six billion, one hundred one million, nine hundred twelve thousand".