20687101036200 has 72 divisors (see below), whose sum is σ = 69474180985950. Its totient is φ = 5516560275840.

The previous prime is 20687101036157. The next prime is 20687101036223. The reversal of 20687101036200 is 263010178602.

20687101036200 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 7 + 10 + 10 + 3 + 620 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 9162474733764 + 11524626302436 = 3026958^2 + 3394794^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×20687101036200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5746415155 + ... + 5746418754.

Almost surely, 2^{20687101036200} is an apocalyptic number.

20687101036200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20687101036200 is an abundant number, since it is smaller than the sum of its proper divisors (48787079949750).

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

20687101036200 is a wasteful number, since it uses less digits than its factorization.

20687101036200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11492833931 (or 11492833919 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 20687101036200 in words is "twenty trillion, six hundred eighty-seven billion, one hundred one million, thirty-six thousand, two hundred".