10412255700 has 864 divisors, whose sum is σ = 43776364800. Its totient is φ = 2075673600.

The previous prime is 10412255699. The next prime is 10412255713. The reversal of 10412255700 is 755221401.

10412255700 is a `hidden beast` number, since 104 + 1 + 2 + 2 + 557 + 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 287 ways as a sum of consecutive naturals, for example, 66320022 + ... + 66320178.

Almost surely, 2^10412255700 is an apocalyptic number.

10412255700 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 10412255700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21888182400).

10412255700 is an abundant number, since it is smaller than the sum of its proper divisors (33364109100).

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

10412255700 is a wasteful number, since it uses less digits than its factorization.

10412255700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The spelling of 10412255700 in words is "ten billion, four hundred twelve million, two hundred fifty-five thousand, seven hundred".