10583780965128 has 96 divisors (see below), whose sum is σ = 32790493344960. Its totient is φ = 3021060067200.

The previous prime is 10583780965117. The next prime is 10583780965183. The reversal of 10583780965128 is 82156908738501.

10583780965128 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 37 + 80 + 9 + 6 + 512 + 8 = 666.

It is a super-2 number, since 2×10583780965128² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) 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 (63).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9460575 + ... + 10519982.

It is an arithmetic number, because the mean of its divisors is an integer number (341567639010).

Almost surely, 2^{10583780965128} is an apocalyptic number.

10583780965128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10583780965128 is an abundant number, since it is smaller than the sum of its proper divisors (22206712379832).

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

10583780965128 is a wasteful number, since it uses less digits than its factorization.

10583780965128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19981627 (or 19981620 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 10583780965128 in words is "ten trillion, five hundred eighty-three billion, seven hundred eighty million, nine hundred sixty-five thousand, one hundred twenty-eight".