48097249200 has 1200 divisors, whose sum is σ = 231921989376. Its totient is φ = 9219225600.

The previous prime is 48097249147. The next prime is 48097249223. The reversal of 48097249200 is 294279084.

48097249200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-3 number, since 3×48097249200³ (a number of 33 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 32431659 + ... + 32433141.

Almost surely, 2^48097249200 is an apocalyptic number.

48097249200 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 48097249200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115960994688).

48097249200 is an abundant number, since it is smaller than the sum of its proper divisors (183824740176).

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

48097249200 is a wasteful number, since it uses less digits than its factorization.

48097249200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 48097249200 in words is "forty-eight billion, ninety-seven million, two hundred forty-nine thousand, two hundred".