47557289606400 has 648 divisors, whose sum is σ = 194406287479040. Its totient is φ = 10865285775360.

The previous prime is 47557289606363. The next prime is 47557289606413. The reversal of 47557289606400 is 460698275574.

47557289606400 is a `hidden beast` number, since 4 + 75 + 5 + 72 + 8 + 96 + 0 + 6 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 924511881 + ... + 924563319.

Almost surely, 2^{47557289606400} is an apocalyptic number.

47557289606400 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 47557289606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97203143739520).

47557289606400 is an abundant number, since it is smaller than the sum of its proper divisors (146848997872640).

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

47557289606400 is a wasteful number, since it uses less digits than its factorization.

47557289606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53771 (or 53749 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 47557289606400 in words is "forty-seven trillion, five hundred fifty-seven billion, two hundred eighty-nine million, six hundred six thousand, four hundred".