10146700872 has 720 divisors, whose sum is σ = 38526642000. Its totient is φ = 2478833280.

The previous prime is 10146700871. The next prime is 10146700939. The reversal of 10146700872 is 27800764101.

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

It is not an unprimeable number, because it can be changed into a prime (10146700871) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 72997779 + ... + 72997917.

It is an arithmetic number, because the mean of its divisors is an integer number (53509225).

Almost surely, 2^10146700872 is an apocalyptic number.

10146700872 is a gapful number since it is divisible by the number (12) 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 10146700872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19263321000).

10146700872 is an abundant number, since it is smaller than the sum of its proper divisors (28379941128).

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

10146700872 is a wasteful number, since it uses less digits than its factorization.

10146700872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 10146700872 in words is "ten billion, one hundred forty-six million, seven hundred thousand, eight hundred seventy-two".