10732856400 has 600 divisors, whose sum is σ = 45247262720. Its totient is φ = 2385054720.

The previous prime is 10732856377. The next prime is 10732856419. The reversal of 10732856400 is 465823701.

10732856400 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 2 + 8 + 5 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8390961 + ... + 8392239.

Almost surely, 2^10732856400 is an apocalyptic number.

10732856400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 103599×103600.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10732856400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22623631360).

10732856400 is an abundant number, since it is smaller than the sum of its proper divisors (34514406320).

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

10732856400 is a wasteful number, since it uses less digits than its factorization.

10732856400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10732856400 in words is "ten billion, seven hundred thirty-two million, eight hundred fifty-six thousand, four hundred".