47534558400 has 840 divisors, whose sum is σ = 201587502336. Its totient is φ = 10761984000.

The previous prime is 47534558389. The next prime is 47534558419. The reversal of 47534558400 is 485543574.

47534558400 is a `hidden beast` number, since 4 + 7 + 53 + 4 + 558 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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 119 ways as a sum of consecutive naturals, for example, 136987027 + ... + 136987373.

Almost surely, 2^47534558400 is an apocalyptic number.

47534558400 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 47534558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100793751168).

47534558400 is an abundant number, since it is smaller than the sum of its proper divisors (154052943936).

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

47534558400 is a wasteful number, since it uses less digits than its factorization.

47534558400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 47534558400 in words is "forty-seven billion, five hundred thirty-four million, five hundred fifty-eight thousand, four hundred".