2015200435104 has 192 divisors, whose sum is σ = 6139386489600. Its totient is φ = 642272633856.

The previous prime is 2015200435091. The next prime is 2015200435121. The reversal of 2015200435104 is 4015340025102.

2015200435104 is a `hidden beast` number, since 2 + 0 + 1 + 520 + 0 + 4 + 35 + 104 = 666.

It is a super-2 number, since 2×2015200435104² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2190342 + ... + 2971194.

It is an arithmetic number, because the mean of its divisors is an integer number (31975971300).

Almost surely, 2^{2015200435104} is an apocalyptic number.

2015200435104 is a gapful number since it is divisible by the number (24) 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 2015200435104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069693244800).

2015200435104 is an abundant number, since it is smaller than the sum of its proper divisors (4124186054496).

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

2015200435104 is a wasteful number, since it uses less digits than its factorization.

2015200435104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781004 (or 780990 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 2015200435104 in words is "two trillion, fifteen billion, two hundred million, four hundred thirty-five thousand, one hundred four".