11500820640 has 384 divisors, whose sum is σ = 42551308800. Its totient is φ = 2931489792.

The previous prime is 11500820627. The next prime is 11500820641. The reversal of 11500820640 is 4602800511.

11500820640 is a `hidden beast` number, since 1 + 15 + 0 + 0 + 8 + 2 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11500820641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8047446 + ... + 8048874.

It is an arithmetic number, because the mean of its divisors is an integer number (110810700).

Almost surely, 2^11500820640 is an apocalyptic number.

11500820640 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 11500820640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21275654400).

11500820640 is an abundant number, since it is smaller than the sum of its proper divisors (31050488160).

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

11500820640 is an equidigital number, since it uses as much as digits as its factorization.

11500820640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 11500820640 in words is "eleven billion, five hundred million, eight hundred twenty thousand, six hundred forty".