47862259200 has 1080 divisors, whose sum is σ = 203974210440. Its totient is φ = 10683187200.

The previous prime is 47862259189. The next prime is 47862259223. The reversal of 47862259200 is 295226874.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 344332731 + ... + 344332869.

Almost surely, 2^47862259200 is an apocalyptic number.

47862259200 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 47862259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101987105220).

47862259200 is an abundant number, since it is smaller than the sum of its proper divisors (156111951240).

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

47862259200 is a wasteful number, since it uses less digits than its factorization.

47862259200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 217 counting only the distinct ones).

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

The spelling of 47862259200 in words is "forty-seven billion, eight hundred sixty-two million, two hundred fifty-nine thousand, two hundred".