47828158709760 has 3264 divisors, whose sum is σ = 211053082705920. Its totient is φ = 9845625323520.

The previous prime is 47828158709759. The next prime is 47828158709783. The reversal of 47828158709760 is 6790785182874.

47828158709760 is a `hidden beast` number, since 478 + 2 + 8 + 1 + 5 + 8 + 7 + 0 + 97 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 376599674817 + ... + 376599674943.

Almost surely, 2^{47828158709760} is an apocalyptic number.

47828158709760 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 47828158709760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105526541352960).

47828158709760 is an abundant number, since it is smaller than the sum of its proper divisors (163224923996160).

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

47828158709760 is a wasteful number, since it uses less digits than its factorization.

47828158709760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 379330560, while the sum is 72.

The spelling of 47828158709760 in words is "forty-seven trillion, eight hundred twenty-eight billion, one hundred fifty-eight million, seven hundred nine thousand, seven hundred sixty".