2007811325520 has 3840 divisors, whose sum is σ = 10171796963328. Its totient is φ = 341118812160.

The previous prime is 2007811325479. The next prime is 2007811325573. The reversal of 2007811325520 is 255231187002.

2007811325520 is a `hidden beast` number, since 2 + 0 + 0 + 78 + 1 + 1 + 32 + 552 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 19493313789 + ... + 19493313891.

Almost surely, 2^{2007811325520} is an apocalyptic number.

2007811325520 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 2007811325520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5085898481664).

2007811325520 is an abundant number, since it is smaller than the sum of its proper divisors (8163985637808).

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

2007811325520 is a wasteful number, since it uses less digits than its factorization.

2007811325520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 2007811325520 in words is "two trillion, seven billion, eight hundred eleven million, three hundred twenty-five thousand, five hundred twenty".