10731542400 has 576 divisors, whose sum is σ = 42352333920. Its totient is φ = 2573598720.

The previous prime is 10731542369. The next prime is 10731542407. The reversal of 10731542400 is 424513701.

10731542400 is a `hidden beast` number, since 10 + 73 + 1 + 542 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10731542407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11260324 + ... + 11261276.

Almost surely, 2^10731542400 is an apocalyptic number.

10731542400 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 10731542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21176166960).

10731542400 is an abundant number, since it is smaller than the sum of its proper divisors (31620791520).

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

10731542400 is a wasteful number, since it uses less digits than its factorization.

10731542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 10731542400 in words is "ten billion, seven hundred thirty-one million, five hundred forty-two thousand, four hundred".