2199021158400 has 1056 divisors, whose sum is σ = 8388069129216. Its totient is φ = 503316480000.

The previous prime is 2199021158333. The next prime is 2199021158423. The reversal of 2199021158400 is 48511209912.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 32800 × 32736 × 2048.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53634662380 + ... + 53634662420.

Almost surely, 2^{2199021158400} is an apocalyptic number.

2199021158400 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 2199021158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4194034564608).

2199021158400 is an abundant number, since it is smaller than the sum of its proper divisors (6189047970816).

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

2199021158400 is an frugal number, since it uses more digits than its factorization.

2199021158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The spelling of 2199021158400 in words is "two trillion, one hundred ninety-nine billion, twenty-one million, one hundred fifty-eight thousand, four hundred".