537966117000 has 320 divisors, whose sum is σ = 2025147524400. Its totient is φ = 132422169600.

The previous prime is 537966116977. The next prime is 537966117001. The reversal of 537966117000 is 711669735.

It can be written as a sum of positive squares in 8 ways, for example, as 2502200484 + 535463916516 = 50022^2 + 731754^2 .

It is a hoax number, since the sum of its digits (45) 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 (45).

It is not an unprimeable number, because it can be changed into a prime (537966117001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 797556 + ... + 1308444.

Almost surely, 2^537966117000 is an apocalyptic number.

537966117000 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 537966117000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012573762200).

537966117000 is an abundant number, since it is smaller than the sum of its proper divisors (1487181407400).

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

537966117000 is a wasteful number, since it uses less digits than its factorization.

537966117000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510935 (or 510912 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 537966117000 in words is "five hundred thirty-seven billion, nine hundred sixty-six million, one hundred seventeen thousand".