47528638788400 has 480 divisors, whose sum is σ = 150540500791296. Its totient is φ = 13986570240000.

The previous prime is 47528638788341. The next prime is 47528638788403. The reversal of 47528638788400 is 488783682574.

47528638788400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 47528638788400.

It is not an unprimeable number, because it can be changed into a prime (47528638788403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38539744 + ... + 39753856.

Almost surely, 2^{47528638788400} is an apocalyptic number.

47528638788400 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 47528638788400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75270250395648).

47528638788400 is an abundant number, since it is smaller than the sum of its proper divisors (103011862002896).

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

47528638788400 is a wasteful number, since it uses less digits than its factorization.

47528638788400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214221 (or 1214210 counting only the distinct ones).

The product of its (nonzero) digits is 578027520, while the sum is 70.

The spelling of 47528638788400 in words is "forty-seven trillion, five hundred twenty-eight billion, six hundred thirty-eight million, seven hundred eighty-eight thousand, four hundred".