10202147904 has 224 divisors, whose sum is σ = 30772998144. Its totient is φ = 2959165440.

The previous prime is 10202147867. The next prime is 10202147959. The reversal of 10202147904 is 40974120201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4074717 + ... + 4077219.

It is an arithmetic number, because the mean of its divisors is an integer number (137379456).

Almost surely, 2^10202147904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202147904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15386499072).

10202147904 is an abundant number, since it is smaller than the sum of its proper divisors (20570850240).

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

10202147904 is a wasteful number, since it uses less digits than its factorization.

10202147904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2625 (or 2615 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 10202147904 in words is "ten billion, two hundred two million, one hundred forty-seven thousand, nine hundred four".