53398645440 has 224 divisors, whose sum is σ = 193996568064. Its totient is φ = 12190556160.

The previous prime is 53398645411. The next prime is 53398645457. The reversal of 53398645440 is 4454689335.

53398645440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×53398645440³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6090660 + ... + 6099420.

Almost surely, 2^53398645440 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 53398645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96998284032).

53398645440 is an abundant number, since it is smaller than the sum of its proper divisors (140597922624).

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

53398645440 is a wasteful number, since it uses less digits than its factorization.

53398645440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9695 (or 9685 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 51.

It can be divided in two parts, 533986 and 45440, that added together give a triangular number (579426 = T₁₀₇₆).

The spelling of 53398645440 in words is "fifty-three billion, three hundred ninety-eight million, six hundred forty-five thousand, four hundred forty".