10214256635856 has 1600 divisors, whose sum is σ = 38614073541120. Its totient is φ = 2534562938880.

The previous prime is 10214256635839. The next prime is 10214256635881. The reversal of 10214256635856 is 65853665241201.

10214256635856 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 4 + 2 + 56 + 6 + 3 + 585 + 6 = 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 319 ways as a sum of consecutive naturals, for example, 36092779491 + ... + 36092779773.

Almost surely, 2^{10214256635856} is an apocalyptic number.

10214256635856 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 10214256635856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19307036770560).

10214256635856 is an abundant number, since it is smaller than the sum of its proper divisors (28399816905264).

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

10214256635856 is a wasteful number, since it uses less digits than its factorization.

10214256635856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 10214256635856 in words is "ten trillion, two hundred fourteen billion, two hundred fifty-six million, six hundred thirty-five thousand, eight hundred fifty-six".