10638190080 has 720 divisors, whose sum is σ = 44572928400. Its totient is φ = 2424619008.

The previous prime is 10638190061. The next prime is 10638190081. The reversal of 10638190080 is 8009183601.

10638190080 is a `hidden beast` number, since 1 + 0 + 638 + 19 + 0 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×10638190080² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10638190081) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30481746 + ... + 30482094.

It is an arithmetic number, because the mean of its divisors is an integer number (61906845).

Almost surely, 2^10638190080 is an apocalyptic number.

10638190080 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 10638190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22286464200).

10638190080 is an abundant number, since it is smaller than the sum of its proper divisors (33934738320).

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

10638190080 is an frugal number, since it uses more digits than its factorization.

10638190080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 10638190080 in words is "ten billion, six hundred thirty-eight million, one hundred ninety thousand, eighty".