10121762880 has 168 divisors, whose sum is σ = 35938017024. Its totient is φ = 2612044800.

The previous prime is 10121762873. The next prime is 10121762971. The reversal of 10121762880 is 8826712101.

10121762880 is a `hidden beast` number, since 1 + 0 + 1 + 21 + 7 + 628 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32595 + ... + 145965.

It is an arithmetic number, because the mean of its divisors is an integer number (213916768).

Almost surely, 2^10121762880 is an apocalyptic number.

10121762880 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 10121762880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17969008512).

10121762880 is an abundant number, since it is smaller than the sum of its proper divisors (25816254144).

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

10121762880 is a wasteful number, since it uses less digits than its factorization.

10121762880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113425 (or 113412 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 10121762880 in words is "ten billion, one hundred twenty-one million, seven hundred sixty-two thousand, eight hundred eighty".