1955858190400 has 63 divisors (see below), whose sum is σ = 4812771213021. Its totient is φ = 782320899840.

The previous prime is 1955858190389. The next prime is 1955858190431. The reversal of 1955858190400 is 40918585591.

It is a happy number.

The square root of 1955858190400 is 1398520.

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

It can be written as a sum of positive squares in only one way, i.e., 704108948544 + 1251749241856 = 839112^2 + 1118816^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 55923319 + ... + 55958281.

Almost surely, 2^{1955858190400} is an apocalyptic number.

1955858190400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1955858190400 is the 1398520-th square number.

It is an amenable number.

1955858190400 is an abundant number, since it is smaller than the sum of its proper divisors (2856913022621).

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

1955858190400 is an frugal number, since it uses more digits than its factorization.

1955858190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69948 (or 34970 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 55.

The spelling of 1955858190400 in words is "one trillion, nine hundred fifty-five billion, eight hundred fifty-eight million, one hundred ninety thousand, four hundred".