10048094976 has 288 divisors, whose sum is σ = 29485926400. Its totient is φ = 3025797120.

The previous prime is 10048094929. The next prime is 10048094993. The reversal of 10048094976 is 67949084001.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43878030 + ... + 43878258.

Almost surely, 2^10048094976 is an apocalyptic number.

10048094976 is a gapful number since it is divisible by the number (16) 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 10048094976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14742963200).

10048094976 is an abundant number, since it is smaller than the sum of its proper divisors (19437831424).

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

10048094976 is a wasteful number, since it uses less digits than its factorization.

10048094976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 10048094976 in words is "ten billion, forty-eight million, ninety-four thousand, nine hundred seventy-six".