47527114620240 has 480 divisors, whose sum is σ = 170628606570240. Its totient is φ = 11814000869376.

The previous prime is 47527114620217. The next prime is 47527114620311. The reversal of 47527114620240 is 4202641172574.

47527114620240 is a `hidden beast` number, since 4 + 7 + 5 + 2 + 7 + 1 + 14 + 620 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 566168191 + ... + 566252129.

It is an arithmetic number, because the mean of its divisors is an integer number (355476263688).

Almost surely, 2^{47527114620240} is an apocalyptic number.

47527114620240 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 47527114620240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85314303285120).

47527114620240 is an abundant number, since it is smaller than the sum of its proper divisors (123101491950000).

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

47527114620240 is a wasteful number, since it uses less digits than its factorization.

47527114620240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84419 (or 84410 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 47527114620240 in words is "forty-seven trillion, five hundred twenty-seven billion, one hundred fourteen million, six hundred twenty thousand, two hundred forty".