539903839371264 has 1088 divisors, whose sum is σ = 1752333287424000. Its totient is φ = 163656766586880.

The previous prime is 539903839371263. The next prime is 539903839371287. The reversal of 539903839371264 is 462173938309935.

539903839371264 is a `hidden beast` number, since 5 + 3 + 9 + 90 + 383 + 9 + 37 + 126 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 539903839371192 and 539903839371201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (539903839371263) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132361811977 + ... + 132361816055.

It is an arithmetic number, because the mean of its divisors is an integer number (1610600448000).

It is a 1-persistent number, because it is pandigital, but 2⋅539903839371264 = 1079807678742528 is not.

Almost surely, 2^{539903839371264} is an apocalyptic number.

539903839371264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 539903839371264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876166643712000).

539903839371264 is an abundant number, since it is smaller than the sum of its proper divisors (1212429448052736).

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

539903839371264 is a wasteful number, since it uses less digits than its factorization.

539903839371264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4297 (or 4261 counting only the distinct ones).

The product of its (nonzero) digits is 793618560, while the sum is 72.

The spelling of 539903839371264 in words is "five hundred thirty-nine trillion, nine hundred three billion, eight hundred thirty-nine million, three hundred seventy-one thousand, two hundred sixty-four".