48856953600 has 1296 divisors, whose sum is σ = 222635750400. Its totient is φ = 10265149440.

The previous prime is 48856953583. The next prime is 48856953637. The reversal of 48856953600 is 635965884.

It is a happy number.

48856953600 is a `hidden beast` number, since 48 + 8 + 5 + 69 + 536 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 204422281 + ... + 204422519.

Almost surely, 2^48856953600 is an apocalyptic number.

48856953600 is a gapful number since it is divisible by the number (40) 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 48856953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111317875200).

48856953600 is an abundant number, since it is smaller than the sum of its proper divisors (173778796800).

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

48856953600 is a wasteful number, since it uses less digits than its factorization.

48856953600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 48856953600 in words is "forty-eight billion, eight hundred fifty-six million, nine hundred fifty-three thousand, six hundred".