10061882769120 has 768 divisors, whose sum is σ = 40835043164160. Its totient is φ = 2025509068800.

The previous prime is 10061882769031. The next prime is 10061882769179. The reversal of 10061882769120 is 2196728816001.

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, 96087351 + ... + 96192009.

It is an arithmetic number, because the mean of its divisors is an integer number (53170629120).

Almost surely, 2^{10061882769120} is an apocalyptic number.

10061882769120 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 10061882769120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20417521582080).

10061882769120 is an abundant number, since it is smaller than the sum of its proper divisors (30773160395040).

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

10061882769120 is a wasteful number, since it uses less digits than its factorization.

10061882769120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104799 (or 104791 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 51.

The spelling of 10061882769120 in words is "ten trillion, sixty-one billion, eight hundred eighty-two million, seven hundred sixty-nine thousand, one hundred twenty".