10187850420 has 144 divisors (see below), whose sum is σ = 33761407680. Its totient is φ = 2466201600.

The previous prime is 10187850397. The next prime is 10187850427. The reversal of 10187850420 is 2405878101.

10187850420 is a `hidden beast` number, since 1 + 0 + 187 + 8 + 50 + 420 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10187850427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1519275 + ... + 1525965.

It is an arithmetic number, because the mean of its divisors is an integer number (234454220).

Almost surely, 2^10187850420 is an apocalyptic number.

10187850420 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 10187850420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16880703840).

10187850420 is an abundant number, since it is smaller than the sum of its proper divisors (23573557260).

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

10187850420 is a wasteful number, since it uses less digits than its factorization.

10187850420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7486 (or 7481 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 10187850420 in words is "ten billion, one hundred eighty-seven million, eight hundred fifty thousand, four hundred twenty".