10148561280 has 960 divisors, whose sum is σ = 43760288880. Its totient is φ = 2209628160.

The previous prime is 10148561231. The next prime is 10148561299. The reversal of 10148561280 is 8216584101.

10148561280 is a `hidden beast` number, since 1 + 0 + 14 + 8 + 561 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 119 ways as a sum of consecutive naturals, for example, 274285422 + ... + 274285458.

Almost surely, 2^10148561280 is an apocalyptic number.

10148561280 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 10148561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21880144440).

10148561280 is an abundant number, since it is smaller than the sum of its proper divisors (33611727600).

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

10148561280 is a wasteful number, since it uses less digits than its factorization.

10148561280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 10148561280 in words is "ten billion, one hundred forty-eight million, five hundred sixty-one thousand, two hundred eighty".