10201674560 has 504 divisors, whose sum is σ = 32811780960. Its totient is φ = 3001743360.

The previous prime is 10201674557. The next prime is 10201674577. The reversal of 10201674560 is 6547610201.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36048179 + ... + 36048461.

It is an arithmetic number, because the mean of its divisors is an integer number (65102740).

Almost surely, 2^10201674560 is an apocalyptic number.

10201674560 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 10201674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16405890480).

10201674560 is an abundant number, since it is smaller than the sum of its proper divisors (22610106400).

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

10201674560 is a wasteful number, since it uses less digits than its factorization.

10201674560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 10201674560 in words is "ten billion, two hundred one million, six hundred seventy-four thousand, five hundred sixty".