10048147200 has 1296 divisors, whose sum is σ = 46498023936. Its totient is φ = 2090188800.

The previous prime is 10048147189. The next prime is 10048147253. The reversal of 10048147200 is 274184001.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 141523165 + ... + 141523235.

Almost surely, 2^10048147200 is an apocalyptic number.

10048147200 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 10048147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23249011968).

10048147200 is an abundant number, since it is smaller than the sum of its proper divisors (36449876736).

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

10048147200 is an equidigital number, since it uses as much as digits as its factorization.

10048147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 10048147200 in words is "ten billion, forty-eight million, one hundred forty-seven thousand, two hundred".