2013747563520 has 1056 divisors, whose sum is σ = 8790509984256. Its totient is φ = 414056448000.

The previous prime is 2013747563519. The next prime is 2013747563521. The reversal of 2013747563520 is 253657473102.

2013747563520 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 7 + 4 + 7 + 5 + 635 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2013747563519) and next prime (2013747563521).

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is not an unprimeable number, because it can be changed into a prime (2013747563521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 344168595 + ... + 344174445.

It is an arithmetic number, because the mean of its divisors is an integer number (8324346576).

Almost surely, 2^{2013747563520} is an apocalyptic number.

2013747563520 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 2013747563520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4395254992128).

2013747563520 is an abundant number, since it is smaller than the sum of its proper divisors (6776762420736).

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

2013747563520 is a wasteful number, since it uses less digits than its factorization.

2013747563520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5997 (or 5976 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 2013747563520 in words is "two trillion, thirteen billion, seven hundred forty-seven million, five hundred sixty-three thousand, five hundred twenty".