536977060435200 has 864 divisors, whose sum is σ = 2280688218611712. Its totient is φ = 107980296192000.

The previous prime is 536977060435187. The next prime is 536977060435219. The reversal of 536977060435200 is 2534060779635.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39972094 + ... + 51688706.

It is an arithmetic number, because the mean of its divisors is an integer number (2639685438208).

Almost surely, 2^{536977060435200} is an apocalyptic number.

536977060435200 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 536977060435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140344109305856).

536977060435200 is an abundant number, since it is smaller than the sum of its proper divisors (1743711158176512).

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

536977060435200 is a wasteful number, since it uses less digits than its factorization.

536977060435200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11716691 (or 11716672 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 57.

The spelling of 536977060435200 in words is "five hundred thirty-six trillion, nine hundred seventy-seven billion, sixty million, four hundred thirty-five thousand, two hundred".