10917570800640 has 1408 divisors, whose sum is σ = 41804233574400. Its totient is φ = 2430143299584.

The previous prime is 10917570800603. The next prime is 10917570800641. The reversal of 10917570800640 is 4600807571901.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10917570800640.

It is not an unprimeable number, because it can be changed into a prime (10917570800641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55419141022 + ... + 55419141218.

It is an arithmetic number, because the mean of its divisors is an integer number (29690506800).

Almost surely, 2^{10917570800640} is an apocalyptic number.

10917570800640 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 10917570800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20902116787200).

10917570800640 is an abundant number, since it is smaller than the sum of its proper divisors (30886662773760).

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

10917570800640 is a wasteful number, since it uses less digits than its factorization.

10917570800640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 48.

The spelling of 10917570800640 in words is "ten trillion, nine hundred seventeen billion, five hundred seventy million, eight hundred thousand, six hundred forty".