10060814400 has 672 divisors, whose sum is σ = 41991979008. Its totient is φ = 2051481600.

The previous prime is 10060814377. The next prime is 10060814417. The reversal of 10060814400 is 441806001.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13540429 + ... + 13541171.

It is an arithmetic number, because the mean of its divisors is an integer number (62488064).

Almost surely, 2^10060814400 is an apocalyptic number.

10060814400 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 10060814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20995989504).

10060814400 is an abundant number, since it is smaller than the sum of its proper divisors (31931164608).

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

10060814400 is a wasteful number, since it uses less digits than its factorization.

10060814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The spelling of 10060814400 in words is "ten billion, sixty million, eight hundred fourteen thousand, four hundred".