20134728699120 has 640 divisors, whose sum is σ = 81946492231680. Its totient is φ = 4504291172352.

The previous prime is 20134728699101. The next prime is 20134728699143. The reversal of 20134728699120 is 2199682743102.

20134728699120 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 472 + 8 + 69 + 91 + 20 = 666.

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 127 ways as a sum of consecutive naturals, for example, 57386944 + ... + 57736736.

It is an arithmetic number, because the mean of its divisors is an integer number (128041394112).

Almost surely, 2^{20134728699120} is an apocalyptic number.

20134728699120 is a gapful number since it is divisible by the number (20) 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 20134728699120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40973246115840).

20134728699120 is an abundant number, since it is smaller than the sum of its proper divisors (61811763532560).

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

20134728699120 is an equidigital number, since it uses as much as digits as its factorization.

20134728699120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349881 (or 349857 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 20134728699120 in words is "twenty trillion, one hundred thirty-four billion, seven hundred twenty-eight million, six hundred ninety-nine thousand, one hundred twenty".