48947560200 has 1152 divisors, whose sum is σ = 218011046400. Its totient is φ = 9979200000.

The previous prime is 48947560183. The next prime is 48947560217. The reversal of 48947560200 is 206574984.

It is a happy number.

48947560200 is a `hidden beast` number, since 4 + 89 + 4 + 7 + 560 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48947560183) and next prime (48947560217).

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 287 ways as a sum of consecutive naturals, for example, 195010075 + ... + 195010325.

It is an arithmetic number, because the mean of its divisors is an integer number (189245700).

Almost surely, 2^48947560200 is an apocalyptic number.

48947560200 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 48947560200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109005523200).

48947560200 is an abundant number, since it is smaller than the sum of its proper divisors (169063486200).

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

48947560200 is a wasteful number, since it uses less digits than its factorization.

48947560200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 48947560200 in words is "forty-eight billion, nine hundred forty-seven million, five hundred sixty thousand, two hundred".