10148428800 has 396 divisors, whose sum is σ = 38488447296. Its totient is φ = 2546073600.

The previous prime is 10148428777. The next prime is 10148428811. The reversal of 10148428800 is 882484101.

It is a happy number.

10148428800 is a `hidden beast` number, since 10 + 148 + 428 + 80 + 0 = 666.

It is a super-3 number, since 3×10148428800³ (a number of 31 digits) contains 333 as substring.

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 35 ways as a sum of consecutive naturals, for example, 3915505 + ... + 3918095.

Almost surely, 2^10148428800 is an apocalyptic number.

10148428800 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 10148428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19244223648).

10148428800 is an abundant number, since it is smaller than the sum of its proper divisors (28340018496).

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

10148428800 is a wasteful number, since it uses less digits than its factorization.

10148428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644 (or 2618 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 10148428800 in words is "ten billion, one hundred forty-eight million, four hundred twenty-eight thousand, eight hundred".