536855731776 has 504 divisors, whose sum is σ = 2041146951480. Its totient is φ = 133258051584.

The previous prime is 536855731747. The next prime is 536855731807. The reversal of 536855731776 is 677137558635.

536855731776 is a `hidden beast` number, since 5 + 3 + 6 + 8 + 557 + 3 + 1 + 7 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40642560000 + 496213171776 = 201600^2 + 704424^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×536855731776² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6194470 + ... + 6280538.

It is an arithmetic number, because the mean of its divisors is an integer number (4049894745).

Almost surely, 2^536855731776 is an apocalyptic number.

536855731776 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 536855731776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020573475740).

536855731776 is an abundant number, since it is smaller than the sum of its proper divisors (1504291219704).

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

536855731776 is a wasteful number, since it uses less digits than its factorization.

536855731776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86131 (or 86111 counting only the distinct ones).

The product of its digits is 111132000, while the sum is 63.

The spelling of 536855731776 in words is "five hundred thirty-six billion, eight hundred fifty-five million, seven hundred thirty-one thousand, seven hundred seventy-six".