2158196046400 has 189 divisors, whose sum is σ = 5607623284731. Its totient is φ = 817419617280.

The previous prime is 2158196046389. The next prime is 2158196046431. The reversal of 2158196046400 is 46406918512.

It is a happy number.

The square root of 2158196046400 is 1469080.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4017531456 + 2154178514944 = 63384^2 + 1467712^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1116499834 + ... + 1116501766.

Almost surely, 2^{2158196046400} is an apocalyptic number.

2158196046400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2158196046400 is the 1469080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2158196046400

2158196046400 is an abundant number, since it is smaller than the sum of its proper divisors (3449427238331).

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

2158196046400 is an frugal number, since it uses more digits than its factorization.

2158196046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3926 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 2158196046400 in words is "two trillion, one hundred fifty-eight billion, one hundred ninety-six million, forty-six thousand, four hundred".