10048820745600 has 3456 divisors, whose sum is σ = 47865536409600. Its totient is φ = 1984007208960.

The previous prime is 10048820745599. The next prime is 10048820745643. The reversal of 10048820745600 is 654702884001.

10048820745600 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 8 + 82 + 0 + 7 + 4 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 44267932687 + ... + 44267932913.

It is an arithmetic number, because the mean of its divisors is an integer number (13849981600).

Almost surely, 2^{10048820745600} is an apocalyptic number.

10048820745600 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 10048820745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23932768204800).

10048820745600 is an abundant number, since it is smaller than the sum of its proper divisors (37816715664000).

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

10048820745600 is a wasteful number, since it uses less digits than its factorization.

10048820745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 10048820745600 in words is "ten trillion, forty-eight billion, eight hundred twenty million, seven hundred forty-five thousand, six hundred".