47725098753024 has 528 divisors, whose sum is σ = 177549469753600. Its totient is φ = 12396123463680.

The previous prime is 47725098752921. The next prime is 47725098753071. The reversal of 47725098753024 is 42035789052774.

It is a happy number.

47725098753024 is a `hidden beast` number, since 4 + 7 + 7 + 2 + 5 + 0 + 98 + 7 + 530 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22398867 + ... + 24436845.

Almost surely, 2^{47725098753024} is an apocalyptic number.

47725098753024 is a gapful number since it is divisible by the number (44) 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 47725098753024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88774734876800).

47725098753024 is an abundant number, since it is smaller than the sum of its proper divisors (129824371000576).

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

47725098753024 is a wasteful number, since it uses less digits than its factorization.

47725098753024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038037 (or 2038002 counting only the distinct ones).

The product of its (nonzero) digits is 118540800, while the sum is 63.

The spelling of 47725098753024 in words is "forty-seven trillion, seven hundred twenty-five billion, ninety-eight million, seven hundred fifty-three thousand, twenty-four".