10827086400 has 504 divisors, whose sum is σ = 42767158560. Its totient is φ = 2663331840.

The previous prime is 10827086393. The next prime is 10827086441. The reversal of 10827086400 is 468072801.

10827086400 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 7 + 0 + 8 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7300059 + ... + 7301541.

Almost surely, 2^10827086400 is an apocalyptic number.

10827086400 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 10827086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21383579280).

10827086400 is an abundant number, since it is smaller than the sum of its proper divisors (31940072160).

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

10827086400 is a wasteful number, since it uses less digits than its factorization.

10827086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 10827086400 in words is "ten billion, eight hundred twenty-seven million, eighty-six thousand, four hundred".