2159915729400 has 576 divisors, whose sum is σ = 8649110171520. Its totient is φ = 476119987200.

The previous prime is 2159915729369. The next prime is 2159915729401. The reversal of 2159915729400 is 49275199512.

It is a happy number.

2159915729400 is a `hidden beast` number, since 2 + 1 + 599 + 1 + 5 + 7 + 2 + 9 + 40 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2159915729401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17183179 + ... + 17308421.

It is an arithmetic number, because the mean of its divisors is an integer number (15015816270).

Almost surely, 2^{2159915729400} is an apocalyptic number.

2159915729400 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 2159915729400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4324555085760).

2159915729400 is an abundant number, since it is smaller than the sum of its proper divisors (6489194442120).

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

2159915729400 is a wasteful number, since it uses less digits than its factorization.

2159915729400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125356 (or 125344 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 2159915729400 in words is "two trillion, one hundred fifty-nine billion, nine hundred fifteen million, seven hundred twenty-nine thousand, four hundred".