537264052416 has 560 divisors, whose sum is σ = 1964020618560. Its totient is φ = 141416202240.

The previous prime is 537264052399. The next prime is 537264052453. The reversal of 537264052416 is 614250462735.

537264052416 is a `hidden beast` number, since 5 + 3 + 72 + 6 + 40 + 524 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 362770396 + ... + 362771876.

It is an arithmetic number, because the mean of its divisors is an integer number (3507179676).

Almost surely, 2^537264052416 is an apocalyptic number.

537264052416 is a gapful number since it is divisible by the number (56) 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 537264052416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982010309280).

537264052416 is an abundant number, since it is smaller than the sum of its proper divisors (1426756566144).

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

537264052416 is a wasteful number, since it uses less digits than its factorization.

537264052416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2294 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 537264052416 in words is "five hundred thirty-seven billion, two hundred sixty-four million, fifty-two thousand, four hundred sixteen".