537935868000 has 864 divisors, whose sum is σ = 2041603304832. Its totient is φ = 134069760000.

The previous prime is 537935867993. The next prime is 537935868037. The reversal of 537935868000 is 868539735.

It is a happy number.

537935868000 is a `hidden beast` number, since 53 + 7 + 9 + 3 + 586 + 8 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 895067700 + ... + 895068300.

It is an arithmetic number, because the mean of its divisors is an integer number (2362966788).

Almost surely, 2^537935868000 is an apocalyptic number.

537935868000 is a gapful number since it is divisible by the number (50) 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 537935868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020801652416).

537935868000 is an abundant number, since it is smaller than the sum of its proper divisors (1503667436832).

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

537935868000 is a wasteful number, since it uses less digits than its factorization.

537935868000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 681 counting only the distinct ones).

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

The spelling of 537935868000 in words is "five hundred thirty-seven billion, nine hundred thirty-five million, eight hundred sixty-eight thousand".