537905571840 has 1152 divisors, whose sum is σ = 2369664460800. Its totient is φ = 109778042880.

The previous prime is 537905571727. The next prime is 537905571851. The reversal of 537905571840 is 48175509735.

537905571840 is a `hidden beast` number, since 5 + 3 + 7 + 9 + 0 + 557 + 1 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 259982326 + ... + 259984394.

It is an arithmetic number, because the mean of its divisors is an integer number (2057000400).

Almost surely, 2^537905571840 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 537905571840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184832230400).

537905571840 is an abundant number, since it is smaller than the sum of its proper divisors (1831758888960).

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

537905571840 is a wasteful number, since it uses less digits than its factorization.

537905571840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 537905571840 in words is "five hundred thirty-seven billion, nine hundred five million, five hundred seventy-one thousand, eight hundred forty".