11848922870400 has 2880 divisors, whose sum is σ = 56731857262080. Its totient is φ = 2381322240000.

The previous prime is 11848922870399. The next prime is 11848922870413. The reversal of 11848922870400 is 407822984811.

11848922870400 is a `hidden beast` number, since 1 + 1 + 8 + 4 + 8 + 9 + 228 + 7 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 6805813530 + ... + 6805815270.

Almost surely, 2^{11848922870400} is an apocalyptic number.

11848922870400 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 11848922870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28365928631040).

11848922870400 is an abundant number, since it is smaller than the sum of its proper divisors (44882934391680).

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

11848922870400 is a wasteful number, since it uses less digits than its factorization.

11848922870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1837 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 11848922870400 in words is "eleven trillion, eight hundred forty-eight billion, nine hundred twenty-two million, eight hundred seventy thousand, four hundred".