13429021777920 has 2240 divisors, whose sum is σ = 57730902958080. Its totient is φ = 2921582297088.

The previous prime is 13429021777867. The next prime is 13429021777973. The reversal of 13429021777920 is 2977712092431.

13429021777920 is a `hidden beast` number, since 134 + 290 + 217 + 7 + 7 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13429021777867) and next prime (13429021777973).

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 85535170482 + ... + 85535170638.

Almost surely, 2^{13429021777920} is an apocalyptic number.

13429021777920 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 13429021777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28865451479040).

13429021777920 is an abundant number, since it is smaller than the sum of its proper divisors (44301881180160).

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

13429021777920 is a wasteful number, since it uses less digits than its factorization.

13429021777920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 13429021777920 in words is "thirteen trillion, four hundred twenty-nine billion, twenty-one million, seven hundred seventy-seven thousand, nine hundred twenty".