537292828800 has 1344 divisors, whose sum is σ = 2450212551360. Its totient is φ = 113318092800.

The previous prime is 537292828771. The next prime is 537292828843. The reversal of 537292828800 is 8828292735.

It is a happy number.

537292828800 is a `hidden beast` number, since 537 + 2 + 9 + 2 + 8 + 28 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×537292828800² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 212283535 + ... + 212286065.

It is an arithmetic number, because the mean of its divisors is an integer number (1823074815).

Almost surely, 2^537292828800 is an apocalyptic number.

537292828800 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 537292828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225106275680).

537292828800 is an abundant number, since it is smaller than the sum of its proper divisors (1912919722560).

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

537292828800 is a wasteful number, since it uses less digits than its factorization.

537292828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 537292828800 in words is "five hundred thirty-seven billion, two hundred ninety-two million, eight hundred twenty-eight thousand, eight hundred".