10060566400 has 192 divisors, whose sum is σ = 26357420160. Its totient is φ = 3787776000.

The previous prime is 10060566377. The next prime is 10060566403. The reversal of 10060566400 is 466506001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10060566403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3669030 + ... + 3671770.

It is an arithmetic number, because the mean of its divisors is an integer number (137278230).

Almost surely, 2^10060566400 is an apocalyptic number.

10060566400 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 10060566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13178710080).

10060566400 is an abundant number, since it is smaller than the sum of its proper divisors (16296853760).

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

10060566400 is a wasteful number, since it uses less digits than its factorization.

10060566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2833 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 10060566400 in words is "ten billion, sixty million, five hundred sixty-six thousand, four hundred".