20770834341600 has 2160 divisors, whose sum is σ = 94282852511232. Its totient is φ = 4421167349760.

The previous prime is 20770834341511. The next prime is 20770834341611. The reversal of 20770834341600 is 614343807702.

20770834341600 is a `hidden beast` number, since 2 + 0 + 7 + 7 + 0 + 8 + 3 + 4 + 34 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-3 number, since 3×20770834341600³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 5235902817 + ... + 5235906783.

Almost surely, 2^{20770834341600} is an apocalyptic number.

20770834341600 is a gapful number since it is divisible by the number (20) 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 20770834341600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47141426255616).

20770834341600 is an abundant number, since it is smaller than the sum of its proper divisors (73512018169632).

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

20770834341600 is a wasteful number, since it uses less digits than its factorization.

20770834341600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4127 (or 4098 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 20770834341600 in words is "twenty trillion, seven hundred seventy billion, eight hundred thirty-four million, three hundred forty-one thousand, six hundred".