537122880 has 448 divisors, whose sum is σ = 2212116480. Its totient is φ = 120158208.

The previous prime is 537122869. The next prime is 537122893. The reversal of 537122880 is 88221735.

537122880 is a `hidden beast` number, since 5 + 371 + 2 + 288 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5019787 + ... + 5019893.

It is an arithmetic number, because the mean of its divisors is an integer number (4937760).

Almost surely, 2^537122880 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 537122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106058240).

537122880 is an abundant number, since it is smaller than the sum of its proper divisors (1674993600).

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

537122880 is a wasteful number, since it uses less digits than its factorization.

537122880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 537122880 is about 23175.9116325550. The cubic root of 537122880 is about 812.8764671171.

The spelling of 537122880 in words is "five hundred thirty-seven million, one hundred twenty-two thousand, eight hundred eighty".