10142082720 has 864 divisors, whose sum is σ = 44770864320. Its totient is φ = 2066964480.

The previous prime is 10142082719. The next prime is 10142082767. The reversal of 10142082720 is 2728024101.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56659591 + ... + 56659769.

It is an arithmetic number, because the mean of its divisors is an integer number (51818130).

Almost surely, 2^10142082720 is an apocalyptic number.

10142082720 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 10142082720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22385432160).

10142082720 is an abundant number, since it is smaller than the sum of its proper divisors (34628781600).

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

10142082720 is a wasteful number, since it uses less digits than its factorization.

10142082720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 10142082720 in words is "ten billion, one hundred forty-two million, eighty-two thousand, seven hundred twenty".