10961523840 has 256 divisors, whose sum is σ = 37902090240. Its totient is φ = 2683699200.

The previous prime is 10961523827. The next prime is 10961523869. The reversal of 10961523840 is 4832516901.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1334145 + ... + 1342335.

It is an arithmetic number, because the mean of its divisors is an integer number (148055040).

Almost surely, 2^10961523840 is an apocalyptic number.

10961523840 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 10961523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18951045120).

10961523840 is an abundant number, since it is smaller than the sum of its proper divisors (26940566400).

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

10961523840 is a wasteful number, since it uses less digits than its factorization.

10961523840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8271 (or 8259 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 10961523840 in words is "ten billion, nine hundred sixty-one million, five hundred twenty-three thousand, eight hundred forty".