51947047152 has 1440 divisors, whose sum is σ = 219490951680. Its totient is φ = 11054776320.

The previous prime is 51947047133. The next prime is 51947047189. The reversal of 51947047152 is 25174074915.

51947047152 is a `hidden beast` number, since 519 + 47 + 0 + 47 + 1 + 52 = 666.

It is a super-2 number, since 2×51947047152² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51947047098 and 51947047107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1208070843 + ... + 1208070885.

It is an arithmetic number, because the mean of its divisors is an integer number (152424272).

Almost surely, 2^51947047152 is an apocalyptic number.

51947047152 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 51947047152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109745475840).

51947047152 is an abundant number, since it is smaller than the sum of its proper divisors (167543904528).

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

51947047152 is a wasteful number, since it uses less digits than its factorization.

51947047152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 51947047152 in words is "fifty-one billion, nine hundred forty-seven million, forty-seven thousand, one hundred fifty-two".