10129704786720 has 768 divisors, whose sum is σ = 36542195988480. Its totient is φ = 2619537850368.

The previous prime is 10129704786631. The next prime is 10129704786731. The reversal of 10129704786720 is 2768740792101.

10129704786720 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 97 + 0 + 478 + 67 + 20 = 666.

It is a super-2 number, since 2×10129704786720² (a number of 27 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 13104404254 + ... + 13104405026.

It is an arithmetic number, because the mean of its divisors is an integer number (47580984360).

Almost surely, 2^{10129704786720} is an apocalyptic number.

10129704786720 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 10129704786720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18271097994240).

10129704786720 is an abundant number, since it is smaller than the sum of its proper divisors (26412491201760).

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

10129704786720 is a wasteful number, since it uses less digits than its factorization.

10129704786720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 10129704786720 in words is "ten trillion, one hundred twenty-nine billion, seven hundred four million, seven hundred eighty-six thousand, seven hundred twenty".