2136503573568 has 672 divisors, whose sum is σ = 7878470139904. Its totient is φ = 558989641728.

The previous prime is 2136503573539. The next prime is 2136503573569. The reversal of 2136503573568 is 8653753056312.

2136503573568 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 5 + 0 + 3 + 5 + 73 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2136503573569) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 179728521 + ... + 179740407.

Almost surely, 2^{2136503573568} is an apocalyptic number.

2136503573568 is a gapful number since it is divisible by the number (28) 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 2136503573568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3939235069952).

2136503573568 is an abundant number, since it is smaller than the sum of its proper divisors (5741966566336).

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

2136503573568 is a wasteful number, since it uses less digits than its factorization.

2136503573568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12061 (or 12039 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 2136503573568 in words is "two trillion, one hundred thirty-six billion, five hundred three million, five hundred seventy-three thousand, five hundred sixty-eight".