10638518400 has 384 divisors, whose sum is σ = 41229950400. Its totient is φ = 2669690880.

The previous prime is 10638518357. The next prime is 10638518431. The reversal of 10638518400 is 481583601.

10638518400 is a `hidden beast` number, since 1 + 0 + 638 + 5 + 18 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10638518400² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1465179 + ... + 1472421.

Almost surely, 2^10638518400 is an apocalyptic number.

10638518400 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 10638518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20614975200).

10638518400 is an abundant number, since it is smaller than the sum of its proper divisors (30591432000).

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

10638518400 is a wasteful number, since it uses less digits than its factorization.

10638518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7293 (or 7270 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10638518400 in words is "ten billion, six hundred thirty-eight million, five hundred eighteen thousand, four hundred".