10187819874 has 160 divisors (see below), whose sum is σ = 25683324480. Its totient is φ = 2999420928.

The previous prime is 10187819869. The next prime is 10187819897. The reversal of 10187819874 is 47891878101.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 10187819874.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5911977 + ... + 5913699.

It is an arithmetic number, because the mean of its divisors is an integer number (160520778).

Almost surely, 2^10187819874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10187819874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12841662240).

10187819874 is an abundant number, since it is smaller than the sum of its proper divisors (15495504606).

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

10187819874 is a wasteful number, since it uses less digits than its factorization.

10187819874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 54.

The spelling of 10187819874 in words is "ten billion, one hundred eighty-seven million, eight hundred nineteen thousand, eight hundred seventy-four".