47431765015600 has 240 divisors, whose sum is σ = 133061074816000. Its totient is φ = 16241618776320.

The previous prime is 47431765015561. The next prime is 47431765015603. The reversal of 47431765015600 is 651056713474.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (47431765015603) 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, 107756761 + ... + 108196039.

Almost surely, 2^{47431765015600} is an apocalyptic number.

47431765015600 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 47431765015600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66530537408000).

47431765015600 is an abundant number, since it is smaller than the sum of its proper divisors (85629309800400).

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

47431765015600 is a wasteful number, since it uses less digits than its factorization.

47431765015600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440105 (or 440080 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 49.

The spelling of 47431765015600 in words is "forty-seven trillion, four hundred thirty-one billion, seven hundred sixty-five million, fifteen thousand, six hundred".