47818293600 has 1152 divisors, whose sum is σ = 212530397184. Its totient is φ = 9031680000.

The previous prime is 47818293559. The next prime is 47818293637. The reversal of 47818293600 is 639281874.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 47818293600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 97389355 + ... + 97389845.

It is an arithmetic number, because the mean of its divisors is an integer number (184488192).

Almost surely, 2^47818293600 is an apocalyptic number.

47818293600 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 47818293600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106265198592).

47818293600 is an abundant number, since it is smaller than the sum of its proper divisors (164712103584).

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

47818293600 is a wasteful number, since it uses less digits than its factorization.

47818293600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 47818293600 in words is "forty-seven billion, eight hundred eighteen million, two hundred ninety-three thousand, six hundred".