53574904547840 has 320 divisors, whose sum is σ = 139691609164800. Its totient is φ = 19587784310784.

The previous prime is 53574904547711. The next prime is 53574904547849. The reversal of 53574904547840 is 4874540947535.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×53574904547840² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is not an unprimeable number, because it can be changed into a prime (53574904547849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7483570181 + ... + 7483577339.

It is an arithmetic number, because the mean of its divisors is an integer number (436536278640).

Almost surely, 2^{53574904547840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53574904547840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69845804582400).

53574904547840 is an abundant number, since it is smaller than the sum of its proper divisors (86116704616960).

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

53574904547840 is a wasteful number, since it uses less digits than its factorization.

53574904547840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9367 (or 9351 counting only the distinct ones).

The product of its (nonzero) digits is 338688000, while the sum is 65.

The spelling of 53574904547840 in words is "fifty-three trillion, five hundred seventy-four billion, nine hundred four million, five hundred forty-seven thousand, eight hundred forty".