53261245440 has 1056 divisors, whose sum is σ = 214054626240. Its totient is φ = 12612796416.

The previous prime is 53261245423. The next prime is 53261245451. The reversal of 53261245440 is 4454216235.

53261245440 is a `hidden beast` number, since 5 + 32 + 61 + 24 + 544 + 0 = 666.

It is a super-3 number, since 3×53261245440³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 53261245395 and 53261245404.

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, 598440916 + ... + 598441004.

Almost surely, 2^53261245440 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 53261245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107027313120).

53261245440 is an abundant number, since it is smaller than the sum of its proper divisors (160793380800).

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

53261245440 is a wasteful number, since it uses less digits than its factorization.

53261245440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 53261245440 in words is "fifty-three billion, two hundred sixty-one million, two hundred forty-five thousand, four hundred forty".