2150116550400 has 2592 divisors, whose sum is σ = 9436544022528. Its totient is φ = 426708172800.

The previous prime is 2150116550389. The next prime is 2150116550429. The reversal of 2150116550400 is 40556110512.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 20094547147 + ... + 20094547253.

It is an arithmetic number, because the mean of its divisors is an integer number (3640641984).

Almost surely, 2^{2150116550400} is an apocalyptic number.

2150116550400 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 2150116550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4718272011264).

2150116550400 is an abundant number, since it is smaller than the sum of its proper divisors (7286427472128).

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

2150116550400 is a wasteful number, since it uses less digits than its factorization.

2150116550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The spelling of 2150116550400 in words is "two trillion, one hundred fifty billion, one hundred sixteen million, five hundred fifty thousand, four hundred".