12535893720 has 384 divisors, whose sum is σ = 50833036800. Its totient is φ = 2714259456.

The previous prime is 12535893709. The next prime is 12535893737. The reversal of 12535893720 is 2739853521.

12535893720 is a `hidden beast` number, since 1 + 2 + 535 + 8 + 93 + 7 + 20 = 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, 1287912 + ... + 1297608.

It is an arithmetic number, because the mean of its divisors is an integer number (132377700).

Almost surely, 2^12535893720 is an apocalyptic number.

12535893720 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 12535893720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25416518400).

12535893720 is an abundant number, since it is smaller than the sum of its proper divisors (38297143080).

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

12535893720 is a wasteful number, since it uses less digits than its factorization.

12535893720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9749 (or 9733 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 12535893720 in words is "twelve billion, five hundred thirty-five million, eight hundred ninety-three thousand, seven hundred twenty".