47535672000000 has 1120 divisors, whose sum is σ = 168624046584576. Its totient is φ = 11858329600000.

The previous prime is 47535671999951. The next prime is 47535672000001. The reversal of 47535672000000 is 27653574.

It is a super-2 number, since 2×47535672000000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47535672000001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 107303999779 + ... + 107304000221.

Almost surely, 2^{47535672000000} is an apocalyptic number.

47535672000000 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 47535672000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84312023292288).

47535672000000 is an abundant number, since it is smaller than the sum of its proper divisors (121088374584576).

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

47535672000000 is an frugal number, since it uses more digits than its factorization.

47535672000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 39.

Adding to 47535672000000 its reverse (27653574), we get a palindrome (47535699653574).

The spelling of 47535672000000 in words is "forty-seven trillion, five hundred thirty-five billion, six hundred seventy-two million", and thus it is an aban number.