47128916352000 has 704 divisors, whose sum is σ = 184006598870016. Its totient is φ = 10481157734400.

The previous prime is 47128916351969. The next prime is 47128916352109. The reversal of 47128916352000 is 25361982174.

It is a super-2 number, since 2×47128916352000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99219067 + ... + 99692933.

It is a 1-persistent number, because it is pandigital, but 2⋅47128916352000 = 94257832704000 is not.

Almost surely, 2^{47128916352000} is an apocalyptic number.

47128916352000 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 47128916352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92003299435008).

47128916352000 is an abundant number, since it is smaller than the sum of its proper divisors (136877682518016).

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

47128916352000 is a wasteful number, since it uses less digits than its factorization.

47128916352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473949 (or 473921 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 47128916352000 in words is "forty-seven trillion, one hundred twenty-eight billion, nine hundred sixteen million, three hundred fifty-two thousand".