20015364600000 has 2688 divisors, whose sum is σ = 94245747886080. Its totient is φ = 4043520000000.

The previous prime is 20015364599947. The next prime is 20015364600041. The reversal of 20015364600000 is 646351002.

20015364600000 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 53 + 6 + 4 + 600 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×20015364600000² (a number of 27 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 383 ways as a sum of consecutive naturals, for example, 15384599350 + ... + 15384600650.

It is an arithmetic number, because the mean of its divisors is an integer number (35061662160).

Almost surely, 2^{20015364600000} is an apocalyptic number.

20015364600000 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 20015364600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47122873943040).

20015364600000 is an abundant number, since it is smaller than the sum of its proper divisors (74230383286080).

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

20015364600000 is a wasteful number, since it uses less digits than its factorization.

20015364600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 20015364600000 in words is "twenty trillion, fifteen billion, three hundred sixty-four million, six hundred thousand".