2013805678500 has 1920 divisors, whose sum is σ = 8699452489728. Its totient is φ = 393310080000.

The previous prime is 2013805678459. The next prime is 2013805678601. The reversal of 2013805678500 is 58765083102.

2013805678500 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 8 + 0 + 567 + 85 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 3576919219 + ... + 3576919781.

Almost surely, 2^{2013805678500} is an apocalyptic number.

2013805678500 is a gapful number since it is divisible by the number (20) 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 2013805678500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4349726244864).

2013805678500 is an abundant number, since it is smaller than the sum of its proper divisors (6685646811228).

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

2013805678500 is a wasteful number, since it uses less digits than its factorization.

2013805678500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 2013805678500 in words is "two trillion, thirteen billion, eight hundred five million, six hundred seventy-eight thousand, five hundred".