2159201422800 has 540 divisors, whose sum is σ = 8216610519936. Its totient is φ = 524428185600.

The previous prime is 2159201422757. The next prime is 2159201422801. The reversal of 2159201422800 is 82241029512.

2159201422800 is a `hidden beast` number, since 2 + 1 + 592 + 0 + 1 + 42 + 28 + 0 + 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 not an unprimeable number, because it can be changed into a prime (2159201422801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 32218927 + ... + 32285873.

Almost surely, 2^{2159201422800} is an apocalyptic number.

2159201422800 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 2159201422800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4108305259968).

2159201422800 is an abundant number, since it is smaller than the sum of its proper divisors (6057409097136).

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

2159201422800 is a wasteful number, since it uses less digits than its factorization.

2159201422800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67036 (or 67005 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 2159201422800 in words is "two trillion, one hundred fifty-nine billion, two hundred one million, four hundred twenty-two thousand, eight hundred".