47523605351040 has 5120 divisors, whose sum is σ = 230159702707200. Its totient is φ = 9176764907520.

The previous prime is 47523605351039. The next prime is 47523605351041. The reversal of 47523605351040 is 4015350632574.

47523605351040 is a `hidden beast` number, since 4 + 7 + 5 + 2 + 3 + 6 + 0 + 535 + 104 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (47523605351039) and next prime (47523605351041).

It is a super-2 number, since 2×47523605351040² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (47523605351041) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 651008292444 + ... + 651008292516.

It is an arithmetic number, because the mean of its divisors is an integer number (44953066935).

Almost surely, 2^{47523605351040} is an apocalyptic number.

47523605351040 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 47523605351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115079851353600).

47523605351040 is an abundant number, since it is smaller than the sum of its proper divisors (182636097356160).

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

47523605351040 is a wasteful number, since it uses less digits than its factorization.

47523605351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 47523605351040 in words is "forty-seven trillion, five hundred twenty-three billion, six hundred five million, three hundred fifty-one thousand, forty".