47970827600 has 120 divisors (see below), whose sum is σ = 122122034880. Its totient is φ = 18057600000.

The previous prime is 47970827551. The next prime is 47970827621. The reversal of 47970827600 is 672807974.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1126700 + ... + 1168500.

It is an arithmetic number, because the mean of its divisors is an integer number (1017683624).

Almost surely, 2^47970827600 is an apocalyptic number.

47970827600 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 47970827600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61061017440).

47970827600 is an abundant number, since it is smaller than the sum of its proper divisors (74151207280).

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

47970827600 is a wasteful number, since it uses less digits than its factorization.

47970827600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41989 (or 41978 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 50.

The spelling of 47970827600 in words is "forty-seven billion, nine hundred seventy million, eight hundred twenty-seven thousand, six hundred".