47525970240 has 1120 divisors, whose sum is σ = 204898752000. Its totient is φ = 10355724288.

The previous prime is 47525970227. The next prime is 47525970241. The reversal of 47525970240 is 4207952574.

47525970240 is a `hidden beast` number, since 4 + 7 + 52 + 597 + 0 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47525970241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 601594521 + ... + 601594599.

Almost surely, 2^47525970240 is an apocalyptic number.

47525970240 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 47525970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102449376000).

47525970240 is an abundant number, since it is smaller than the sum of its proper divisors (157372781760).

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

47525970240 is an equidigital number, since it uses as much as digits as its factorization.

47525970240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 47525970240 in words is "forty-seven billion, five hundred twenty-five million, nine hundred seventy thousand, two hundred forty".