13935928500 has 672 divisors, whose sum is σ = 52335043488. Its totient is φ = 3209932800.

The previous prime is 13935928481. The next prime is 13935928621. The reversal of 13935928500 is 582953931.

13935928500 is a `hidden beast` number, since 1 + 3 + 9 + 3 + 592 + 8 + 50 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 7251884964 + 6684043536 = 85158^2 + 81756^2 .

It is a super-2 number, since 2×13935928500² (a number of 21 digits) contains 22 as substring.

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 223 ways as a sum of consecutive naturals, for example, 80554414 + ... + 80554586.

It is an arithmetic number, because the mean of its divisors is an integer number (77879529).

Almost surely, 2^13935928500 is an apocalyptic number.

13935928500 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 13935928500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26167521744).

13935928500 is an abundant number, since it is smaller than the sum of its proper divisors (38399114988).

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

13935928500 is a wasteful number, since it uses less digits than its factorization.

13935928500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 13935928500 in words is "thirteen billion, nine hundred thirty-five million, nine hundred twenty-eight thousand, five hundred".