1952673868800 has 330 divisors, whose sum is σ = 7230529432148. Its totient is φ = 520712478720.

The previous prime is 1952673868787. The next prime is 1952673868813. The reversal of 1952673868800 is 88683762591.

1952673868800 is a `hidden beast` number, since 19 + 526 + 7 + 38 + 68 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1952673868787) and next prime (1952673868813).

It is a super-2 number, since 2×1952673868800² (a number of 25 digits) contains 22 as substring.

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 29 ways as a sum of consecutive naturals, for example, 1602759 + ... + 2544441.

Almost surely, 2^{1952673868800} is an apocalyptic number.

1952673868800 is a gapful number since it is divisible by the number (10) 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 1952673868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615264716074).

1952673868800 is an abundant number, since it is smaller than the sum of its proper divisors (5277855563348).

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

1952673868800 is an equidigital number, since it uses as much as digits as its factorization.

1952673868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941725 (or 941693 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 1952673868800 in words is "one trillion, nine hundred fifty-two billion, six hundred seventy-three million, eight hundred sixty-eight thousand, eight hundred".