10119286800 has 240 divisors, whose sum is σ = 41162782080. Its totient is φ = 2312962560.

The previous prime is 10119286799. The next prime is 10119286811. The reversal of 10119286800 is 868291101.

It is a tau number, because it is divible by the number of its divisors (240).

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, 8674 + ... + 142526.

It is an arithmetic number, because the mean of its divisors is an integer number (171511592).

Almost surely, 2^10119286800 is an apocalyptic number.

10119286800 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 10119286800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20581391040).

10119286800 is an abundant number, since it is smaller than the sum of its proper divisors (31043495280).

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

10119286800 is a wasteful number, since it uses less digits than its factorization.

10119286800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133887 (or 133870 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 10119286800 in words is "ten billion, one hundred nineteen million, two hundred eighty-six thousand, eight hundred".