10148525820 has 144 divisors (see below), whose sum is σ = 31891073760. Its totient is φ = 2610432000.

The previous prime is 10148525759. The next prime is 10148525833. The reversal of 10148525820 is 2852584101.

10148525820 is a `hidden beast` number, since 10 + 1 + 48 + 525 + 82 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 649095 + ... + 664545.

It is an arithmetic number, because the mean of its divisors is an integer number (221465790).

Almost surely, 2^10148525820 is an apocalyptic number.

10148525820 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 10148525820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15945536880).

10148525820 is an abundant number, since it is smaller than the sum of its proper divisors (21742547940).

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

10148525820 is a wasteful number, since it uses less digits than its factorization.

10148525820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15596 (or 15591 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 10148525820 in words is "ten billion, one hundred forty-eight million, five hundred twenty-five thousand, eight hundred twenty".