10954594560 has 1152 divisors, whose sum is σ = 47470510080. Its totient is φ = 2089156608.

The previous prime is 10954594543. The next prime is 10954594579. The reversal of 10954594560 is 6549545901.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 233076457 + ... + 233076503.

It is an arithmetic number, because the mean of its divisors is an integer number (41207040).

Almost surely, 2^10954594560 is an apocalyptic number.

10954594560 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 10954594560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23735255040).

10954594560 is an abundant number, since it is smaller than the sum of its proper divisors (36515915520).

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

10954594560 is a wasteful number, since it uses less digits than its factorization.

10954594560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 48.

The spelling of 10954594560 in words is "ten billion, nine hundred fifty-four million, five hundred ninety-four thousand, five hundred sixty".