10119848400 has 600 divisors, whose sum is σ = 40521602880. Its totient is φ = 2403717120.

The previous prime is 10119848369. The next prime is 10119848423. The reversal of 10119848400 is 484891101.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×10119848400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10464717 + ... + 10465683.

Almost surely, 2^10119848400 is an apocalyptic number.

10119848400 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 10119848400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20260801440).

10119848400 is an abundant number, since it is smaller than the sum of its proper divisors (30401754480).

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

10119848400 is a wasteful number, since it uses less digits than its factorization.

10119848400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 10119848400 in words is "ten billion, one hundred nineteen million, eight hundred forty-eight thousand, four hundred".