10761504000 has 288 divisors, whose sum is σ = 38498363904. Its totient is φ = 2648678400.

The previous prime is 10761503923. The next prime is 10761504001. The reversal of 10761504000 is 40516701.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10761504001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1243689 + ... + 1252311.

Almost surely, 2^10761504000 is an apocalyptic number.

10761504000 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 10761504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19249181952).

10761504000 is an abundant number, since it is smaller than the sum of its proper divisors (27736859904).

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

10761504000 is an equidigital number, since it uses as much as digits as its factorization.

10761504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8670 (or 8646 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The spelling of 10761504000 in words is "ten billion, seven hundred sixty-one million, five hundred four thousand".