11429983935720 has 768 divisors, whose sum is σ = 47349588096000. Its totient is φ = 2438108563968.

The previous prime is 11429983935719. The next prime is 11429983935767. The reversal of 11429983935720 is 2753938992411.

11429983935720 is a `hidden beast` number, since 1 + 1 + 4 + 29 + 9 + 8 + 39 + 3 + 572 + 0 = 666.

It is a super-2 number, since 2×11429983935720² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 67282327 + ... + 67451993.

It is an arithmetic number, because the mean of its divisors is an integer number (61653109500).

Almost surely, 2^{11429983935720} is an apocalyptic number.

11429983935720 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 11429983935720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23674794048000).

11429983935720 is an abundant number, since it is smaller than the sum of its proper divisors (35919604160280).

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

11429983935720 is a wasteful number, since it uses less digits than its factorization.

11429983935720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169787 (or 169770 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 11429983935720 in words is "eleven trillion, four hundred twenty-nine billion, nine hundred eighty-three million, nine hundred thirty-five thousand, seven hundred twenty".