10640019699972 has 72 divisors (see below), whose sum is σ = 29638091106624. Its totient is φ = 3197716111296.

The previous prime is 10640019699917. The next prime is 10640019699973. The reversal of 10640019699972 is 27999691004601.

10640019699972 is a `hidden beast` number, since 1 + 0 + 6 + 400 + 19 + 69 + 99 + 72 = 666.

It is a super-4 number, since 4×10640019699972⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10640019699973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264341328 + ... + 264381575.

Almost surely, 2^{10640019699972} is an apocalyptic number.

10640019699972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10640019699972 is an abundant number, since it is smaller than the sum of its proper divisors (18998071406652).

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

10640019699972 is a wasteful number, since it uses less digits than its factorization.

10640019699972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528722969 (or 528722964 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 63.

The spelling of 10640019699972 in words is "ten trillion, six hundred forty billion, nineteen million, six hundred ninety-nine thousand, nine hundred seventy-two".