10142872488 has 288 divisors, whose sum is σ = 34058606400. Its totient is φ = 2769997824.

The previous prime is 10142872477. The next prime is 10142872499. The reversal of 10142872488 is 88427824101.

It is an interprime number because it is at equal distance from previous prime (10142872477) and next prime (10142872499).

It is a super-3 number, since 3×10142872488³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7197928 + ... + 7199336.

It is an arithmetic number, because the mean of its divisors is an integer number (118259050).

Almost surely, 2^10142872488 is an apocalyptic number.

10142872488 is a gapful number since it is divisible by the number (18) 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 10142872488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17029303200).

10142872488 is an abundant number, since it is smaller than the sum of its proper divisors (23915733912).

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

10142872488 is a wasteful number, since it uses less digits than its factorization.

10142872488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 10142872488 in words is "ten billion, one hundred forty-two million, eight hundred seventy-two thousand, four hundred eighty-eight".