11900293350400 has 1320 divisors, whose sum is σ = 37893397807944. Its totient is φ = 3682035302400.

The previous prime is 11900293350383. The next prime is 11900293350403. The reversal of 11900293350400 is 405339200911.

It can be written as a sum of positive squares in 12 ways, for example, as 2996610269184 + 8903683081216 = 1731072^2 + 2983904^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11900293350400.

It is not an unprimeable number, because it can be changed into a prime (11900293350403) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 42349798260 + ... + 42349798540.

Almost surely, 2^{11900293350400} is an apocalyptic number.

11900293350400 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 11900293350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18946698903972).

11900293350400 is an abundant number, since it is smaller than the sum of its proper divisors (25993104457544).

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

11900293350400 is an equidigital number, since it uses as much as digits as its factorization.

11900293350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The spelling of 11900293350400 in words is "eleven trillion, nine hundred billion, two hundred ninety-three million, three hundred fifty thousand, four hundred".