48254405299200 has 396 divisors, whose sum is σ = 173125886590488. Its totient is φ = 12841603891200.

The previous prime is 48254405299157. The next prime is 48254405299229. The reversal of 48254405299200 is 299250445284.

48254405299200 is a `hidden beast` number, since 4 + 8 + 2 + 5 + 4 + 405 + 29 + 9 + 200 = 666.

It is a super-2 number, since 2×48254405299200² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 112913124 + ... + 113339676.

Almost surely, 2^{48254405299200} is an apocalyptic number.

48254405299200 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 48254405299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86562943295244).

48254405299200 is an abundant number, since it is smaller than the sum of its proper divisors (124871481291288).

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

48254405299200 is a wasteful number, since it uses less digits than its factorization.

48254405299200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427080 (or 427054 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 48254405299200 in words is "forty-eight trillion, two hundred fifty-four billion, four hundred five million, two hundred ninety-nine thousand, two hundred".