10064253600 has 432 divisors, whose sum is σ = 36818518464. Its totient is φ = 2585088000.

The previous prime is 10064253541. The next prime is 10064253601. The reversal of 10064253600 is 635246001.

10064253600 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 4 + 2 + 53 + 600 = 666.

It is a super-2 number, since 2×10064253600² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10064253601) 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, 30405435 + ... + 30405765.

It is an arithmetic number, because the mean of its divisors is an integer number (85228052).

Almost surely, 2^10064253600 is an apocalyptic number.

10064253600 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 10064253600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18409259232).

10064253600 is an abundant number, since it is smaller than the sum of its proper divisors (26754264864).

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

10064253600 is a wasteful number, since it uses less digits than its factorization.

10064253600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 10064253600 its reverse (635246001), we get a palindrome (10699499601).

It can be divided in two parts, 1006425 and 3600, that added together give a square (1010025 = 1005²).

The spelling of 10064253600 in words is "ten billion, sixty-four million, two hundred fifty-three thousand, six hundred".