2150361561600 has 1200 divisors, whose sum is σ = 9171143866368. Its totient is φ = 487432028160.

The previous prime is 2150361561599. The next prime is 2150361561613. The reversal of 2150361561600 is 61651630512.

2150361561600 is a `hidden beast` number, since 2 + 1 + 5 + 0 + 36 + 1 + 5 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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 (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 921714034 + ... + 921716366.

Almost surely, 2^{2150361561600} is an apocalyptic number.

2150361561600 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 2150361561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4585571933184).

2150361561600 is an abundant number, since it is smaller than the sum of its proper divisors (7020782304768).

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

2150361561600 is a wasteful number, since it uses less digits than its factorization.

2150361561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 2150361561600 in words is "two trillion, one hundred fifty billion, three hundred sixty-one million, five hundred sixty-one thousand, six hundred".