10148072850 has 120 divisors (see below), whose sum is σ = 28659545508. Its totient is φ = 2661724800.

The previous prime is 10148072839. The next prime is 10148072861. The reversal of 10148072850 is 5827084101.

10148072850 is a `hidden beast` number, since 101 + 480 + 7 + 28 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (10148072839) and next prime (10148072861).

It can be written as a sum of positive squares in 6 ways, for example, as 3287760921 + 6860311929 = 57339^2 + 82827^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 59 ways as a sum of consecutive naturals, for example, 226512 + ... + 267588.

Almost surely, 2^10148072850 is an apocalyptic number.

10148072850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10148072850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14329772754).

10148072850 is an abundant number, since it is smaller than the sum of its proper divisors (18511472658).

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

10148072850 is a wasteful number, since it uses less digits than its factorization.

10148072850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41162 (or 41148 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 10148072850 in words is "ten billion, one hundred forty-eight million, seventy-two thousand, eight hundred fifty".