5264987167440 has 3840 divisors, whose sum is σ = 26385511219200. Its totient is φ = 936105984000.

The previous prime is 5264987167417. The next prime is 5264987167481. The reversal of 5264987167440 is 447617894625.

5264987167440 is a `hidden beast` number, since 5 + 2 + 6 + 498 + 71 + 6 + 74 + 4 + 0 = 666.

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 767 ways as a sum of consecutive naturals, for example, 27565377745 + ... + 27565377935.

It is an arithmetic number, because the mean of its divisors is an integer number (6871226880).

Almost surely, 2^{5264987167440} 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 5264987167440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13192755609600).

5264987167440 is an abundant number, since it is smaller than the sum of its proper divisors (21120524051760).

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

5264987167440 is a wasteful number, since it uses less digits than its factorization.

5264987167440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 5264987167440 in words is "five trillion, two hundred sixty-four billion, nine hundred eighty-seven million, one hundred sixty-seven thousand, four hundred forty".