10385579700 has 288 divisors, whose sum is σ = 34717777920. Its totient is φ = 2660515200.

The previous prime is 10385579671. The next prime is 10385579777. The reversal of 10385579700 is 797558301.

10385579700 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 5 + 579 + 70 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13977529 + ... + 13978271.

It is an arithmetic number, because the mean of its divisors is an integer number (120547840).

Almost surely, 2^10385579700 is an apocalyptic number.

10385579700 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 10385579700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17358888960).

10385579700 is an abundant number, since it is smaller than the sum of its proper divisors (24332198220).

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

10385579700 is a wasteful number, since it uses less digits than its factorization.

10385579700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 10385579700 in words is "ten billion, three hundred eighty-five million, five hundred seventy-nine thousand, seven hundred".