536590020000 has 960 divisors, whose sum is σ = 1928316741120. Its totient is φ = 130171392000.

The previous prime is 536590019971. The next prime is 536590020037. The reversal of 536590020000 is 20095635.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 536590020000.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5014859947 + ... + 5014860053.

It is an arithmetic number, because the mean of its divisors is an integer number (2008663272).

Almost surely, 2^536590020000 is an apocalyptic number.

536590020000 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 536590020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964158370560).

536590020000 is an abundant number, since it is smaller than the sum of its proper divisors (1391726721120).

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

536590020000 is a wasteful number, since it uses less digits than its factorization.

536590020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The spelling of 536590020000 in words is "five hundred thirty-six billion, five hundred ninety million, twenty thousand".