11429870860800 has 1200 divisors, whose sum is σ = 48552493399872. Its totient is φ = 2612138803200.

The previous prime is 11429870860741. The next prime is 11429870860817. The reversal of 11429870860800 is 806807892411.

11429870860800 is a `hidden beast` number, since 1 + 1 + 4 + 29 + 8 + 7 + 0 + 8 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1763593560 + ... + 1763600040.

Almost surely, 2^{11429870860800} is an apocalyptic number.

11429870860800 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 11429870860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24276246699936).

11429870860800 is an abundant number, since it is smaller than the sum of its proper divisors (37122622539072).

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

11429870860800 is an frugal number, since it uses more digits than its factorization.

11429870860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6543 (or 6498 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 11429870860800 in words is "eleven trillion, four hundred twenty-nine billion, eight hundred seventy million, eight hundred sixty thousand, eight hundred".