537936348540800 has 384 divisors, whose sum is σ = 1511257673318400. Its totient is φ = 187428787200000.

The previous prime is 537936348540791. The next prime is 537936348540827. The reversal of 537936348540800 is 8045843639735.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107770721 + ... + 112651679.

It is an arithmetic number, because the mean of its divisors is an integer number (3935566857600).

Almost surely, 2^{537936348540800} is an apocalyptic number.

537936348540800 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 537936348540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755628836659200).

537936348540800 is an abundant number, since it is smaller than the sum of its proper divisors (973321324777600).

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

537936348540800 is a wasteful number, since it uses less digits than its factorization.

537936348540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4881126 (or 4881109 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 65.

The spelling of 537936348540800 in words is "five hundred thirty-seven trillion, nine hundred thirty-six billion, three hundred forty-eight million, five hundred forty thousand, eight hundred".