10198621988640 has 120 divisors (see below), whose sum is σ = 35992636813980. Its totient is φ = 2719632526848.

The previous prime is 10198621988623. The next prime is 10198621988663. The reversal of 10198621988640 is 4688912689101.

It can be written as a sum of positive squares in 2 ways, for example, as 10132940499984 + 65681488656 = 3183228^2 + 256284^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×10198621988640³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 393452395 + ... + 393478314.

Almost surely, 2^{10198621988640} is an apocalyptic number.

10198621988640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10198621988640 is an abundant number, since it is smaller than the sum of its proper divisors (25794014825340).

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

10198621988640 is an equidigital number, since it uses as much as digits as its factorization.

10198621988640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786930736 (or 786930719 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The spelling of 10198621988640 in words is "ten trillion, one hundred ninety-eight billion, six hundred twenty-one million, nine hundred eighty-eight thousand, six hundred forty".