2135691562800 has 90 divisors (see below), whose sum is σ = 6841494143508. Its totient is φ = 569504250240.

The previous prime is 2135691562759. The next prime is 2135691562811. The reversal of 2135691562800 is 82651965312.

It is a super-2 number, since 2×2135691562800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2135691562800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 50603307 + ... + 50645493.

Almost surely, 2^{2135691562800} is an apocalyptic number.

2135691562800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2135691562800 is an abundant number, since it is smaller than the sum of its proper divisors (4705802580708).

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

2135691562800 is an frugal number, since it uses more digits than its factorization.

2135691562800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84395 (or 42197 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

Multiplying 2135691562800 by its sum of digits (48), we get a square (102513195014400 = 10124880²).

2135691562800 divided by its sum of digits (48) gives a square (44493574225 = 210935²).

The spelling of 2135691562800 in words is "two trillion, one hundred thirty-five billion, six hundred ninety-one million, five hundred sixty-two thousand, eight hundred".