2135264564576 has 192 divisors, whose sum is σ = 5215664805120. Its totient is φ = 845986498560.

The previous prime is 2135264564429. The next prime is 2135264564579. The reversal of 2135264564576 is 6754654625312.

It is a super-3 number, since 3×2135264564576³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135264564579) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26651810 + ... + 26731806.

It is an arithmetic number, because the mean of its divisors is an integer number (27164920860).

Almost surely, 2^{2135264564576} is an apocalyptic number.

2135264564576 is a gapful number since it is divisible by the number (26) 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 2135264564576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607832402560).

2135264564576 is an abundant number, since it is smaller than the sum of its proper divisors (3080400240544).

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

2135264564576 is a wasteful number, since it uses less digits than its factorization.

2135264564576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80357 (or 80349 counting only the distinct ones).

The product of its digits is 36288000, while the sum is 56.

The spelling of 2135264564576 in words is "two trillion, one hundred thirty-five billion, two hundred sixty-four million, five hundred sixty-four thousand, five hundred seventy-six".