47951752612320 has 288 divisors, whose sum is σ = 175071482520480. Its totient is φ = 11915534315520.

The previous prime is 47951752612319. The next prime is 47951752612327. The reversal of 47951752612320 is 2321625715974.

47951752612320 is a `hidden beast` number, since 4 + 7 + 9 + 5 + 17 + 5 + 2 + 612 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47951752612327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12696799 + ... + 16034718.

It is an arithmetic number, because the mean of its divisors is an integer number (607887092085).

Almost surely, 2^{47951752612320} is an apocalyptic number.

47951752612320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47951752612320 is an abundant number, since it is smaller than the sum of its proper divisors (127119729908160).

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

47951752612320 is a wasteful number, since it uses less digits than its factorization.

47951752612320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28731618 (or 28731607 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 47951752612320 in words is "forty-seven trillion, nine hundred fifty-one billion, seven hundred fifty-two million, six hundred twelve thousand, three hundred twenty".