47388868800 has 1344 divisors, whose sum is σ = 205726832640. Its totient is φ = 9277931520.

The previous prime is 47388868757. The next prime is 47388868801. The reversal of 47388868800 is 886888374.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×47388868800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (47388868801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 532459156 + ... + 532459244.

It is an arithmetic number, because the mean of its divisors is an integer number (153070560).

Almost surely, 2^47388868800 is an apocalyptic number.

47388868800 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 47388868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102863416320).

47388868800 is an abundant number, since it is smaller than the sum of its proper divisors (158337963840).

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

47388868800 is a wasteful number, since it uses less digits than its factorization.

47388868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 60.

The spelling of 47388868800 in words is "forty-seven billion, three hundred eighty-eight million, eight hundred sixty-eight thousand, eight hundred".