49854873600 has 1224 divisors, whose sum is σ = 222338358720. Its totient is φ = 10899947520.

The previous prime is 49854873581. The next prime is 49854873611. The reversal of 49854873600 is 637845894.

49854873600 is a `hidden beast` number, since 4 + 98 + 548 + 7 + 3 + 6 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2167603189 + ... + 2167603211.

Almost surely, 2^49854873600 is an apocalyptic number.

49854873600 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 49854873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111169179360).

49854873600 is an abundant number, since it is smaller than the sum of its proper divisors (172483485120).

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

49854873600 is an equidigital number, since it uses as much as digits as its factorization.

49854873600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 49854873600 in words is "forty-nine billion, eight hundred fifty-four million, eight hundred seventy-three thousand, six hundred".