10048248000 has 336 divisors, whose sum is σ = 41081212224. Its totient is φ = 2296627200.

The previous prime is 10048247977. The next prime is 10048248011. The reversal of 10048248000 is 84284001.

10048248000 is a `hidden beast` number, since 100 + 4 + 82 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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, 494032 + ... + 513968.

Almost surely, 2^10048248000 is an apocalyptic number.

10048248000 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 10048248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20540606112).

10048248000 is an abundant number, since it is smaller than the sum of its proper divisors (31032964224).

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

10048248000 is a wasteful number, since it uses less digits than its factorization.

10048248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19977 (or 19954 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 10048248000 in words is "ten billion, forty-eight million, two hundred forty-eight thousand".