10638198720 has 224 divisors, whose sum is σ = 37641215040. Its totient is φ = 2828390400.

The previous prime is 10638198719. The next prime is 10638198803. The reversal of 10638198720 is 2789183601.

10638198720 is a `hidden beast` number, since 1 + 0 + 638 + 1 + 9 + 8 + 7 + 2 + 0 = 666.

It is a super-2 number, since 2×10638198720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3221070 + ... + 3224370.

Almost surely, 2^10638198720 is an apocalyptic number.

10638198720 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 10638198720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18820607520).

10638198720 is an abundant number, since it is smaller than the sum of its proper divisors (27003016320).

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

10638198720 is a wasteful number, since it uses less digits than its factorization.

10638198720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3700 (or 3684 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 10638198720 in words is "ten billion, six hundred thirty-eight million, one hundred ninety-eight thousand, seven hundred twenty".