11935850342400 has 2304 divisors, whose sum is σ = 48434899968000. Its totient is φ = 2869729689600.

The previous prime is 11935850342399. The next prime is 11935850342411. The reversal of 11935850342400 is 424305853911.

11935850342400 is a `hidden beast` number, since 1 + 1 + 9 + 358 + 50 + 3 + 4 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 87122995132 + ... + 87122995268.

It is an arithmetic number, because the mean of its divisors is an integer number (21022092000).

Almost surely, 2^{11935850342400} is an apocalyptic number.

11935850342400 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 11935850342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24217449984000).

11935850342400 is an abundant number, since it is smaller than the sum of its proper divisors (36499049625600).

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

11935850342400 is a wasteful number, since it uses less digits than its factorization.

11935850342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 11935850342400 in words is "eleven trillion, nine hundred thirty-five billion, eight hundred fifty million, three hundred forty-two thousand, four hundred".