10348800000 has 864 divisors, whose sum is σ = 43762511520. Its totient is φ = 2150400000.

The previous prime is 10348799983. The next prime is 10348800043. The reversal of 10348800000 is 884301.

It is a super-2 number, since 2×10348800000² (a number of 21 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 940799995 + ... + 940800005.

It is an arithmetic number, because the mean of its divisors is an integer number (50651055).

Almost surely, 2^10348800000 is an apocalyptic number.

10348800000 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 10348800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21881255760).

10348800000 is an abundant number, since it is smaller than the sum of its proper divisors (33413711520).

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

10348800000 is an frugal number, since it uses more digits than its factorization.

10348800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 28 counting only the distinct ones).

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

The spelling of 10348800000 in words is "ten billion, three hundred forty-eight million, eight hundred thousand".