5890125133764 has 135 divisors (see below), whose sum is σ = 15620227952637. Its totient is φ = 1935431050176.

The previous prime is 5890125133751. The next prime is 5890125133769. The reversal of 5890125133764 is 4673315210985.

It is a happy number.

The square root of 5890125133764 is 2426958.

It is a perfect power (a square), and thus also a powerful number.

5890125133764 is a `hidden beast` number, since 5 + 8 + 90 + 1 + 2 + 513 + 37 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3343521960900 + 2546603172864 = 1828530^2 + 1595808^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5890125133764.

It is not an unprimeable number, because it can be changed into a prime (5890125133769) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3189021889 + ... + 3189023735.

It is a 1-persistent number, because it is pandigital, but 2⋅5890125133764 = 11780250267528 is not.

Almost surely, 2^{5890125133764} is an apocalyptic number.

5890125133764 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5890125133764 is the 2426958-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5890125133764

5890125133764 is an abundant number, since it is smaller than the sum of its proper divisors (9730102818873).

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

5890125133764 is an frugal number, since it uses more digits than its factorization.

5890125133764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3856 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 5890125133764 in words is "five trillion, eight hundred ninety billion, one hundred twenty-five million, one hundred thirty-three thousand, seven hundred sixty-four".