20150965785600 has 1584 divisors, whose sum is σ = 82209422760192. Its totient is φ = 4678413189120.

The previous prime is 20150965785593. The next prime is 20150965785641. The reversal of 20150965785600 is 658756905102.

20150965785600 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 0 + 9 + 6 + 5 + 78 + 560 + 0 = 666.

It is a super-2 number, since 2×20150965785600² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5028938797 + ... + 5028942803.

Almost surely, 2^{20150965785600} is an apocalyptic number.

20150965785600 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 20150965785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41104711380096).

20150965785600 is an abundant number, since it is smaller than the sum of its proper divisors (62058456974592).

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

20150965785600 is a wasteful number, since it uses less digits than its factorization.

20150965785600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4152 (or 4126 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 20150965785600 in words is "twenty trillion, one hundred fifty billion, nine hundred sixty-five million, seven hundred eighty-five thousand, six hundred".