5120470987632 has 1280 divisors, whose sum is σ = 20757711421440. Its totient is φ = 1165504204800.

The previous prime is 5120470987591. The next prime is 5120470987637. The reversal of 5120470987632 is 2367890740215.

It is a happy number.

5120470987632 is a `hidden beast` number, since 5 + 1 + 20 + 470 + 98 + 7 + 63 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5120470987637) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 710482173 + ... + 710489379.

It is an arithmetic number, because the mean of its divisors is an integer number (16216962048).

It is a 1-persistent number, because it is pandigital, but 2⋅5120470987632 = 10240941975264 is not.

Almost surely, 2^{5120470987632} is an apocalyptic number.

5120470987632 is a gapful number since it is divisible by the number (52) 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 5120470987632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10378855710720).

5120470987632 is an abundant number, since it is smaller than the sum of its proper divisors (15637240433808).

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

5120470987632 is a wasteful number, since it uses less digits than its factorization.

5120470987632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7339 (or 7327 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 5120470987632 in words is "five trillion, one hundred twenty billion, four hundred seventy million, nine hundred eighty-seven thousand, six hundred thirty-two".