2077961267200 has 1080 divisors, whose sum is σ = 6716546968950. Its totient is φ = 634963230720.

The previous prime is 2077961267191. The next prime is 2077961267237. The reversal of 2077961267200 is 27621697702.

It is a happy number.

It can be written as a sum of positive squares in 15 ways, for example, as 1933123175424 + 144838091776 = 1390368^2 + 380576^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 71653836786 + ... + 71653836814.

Almost surely, 2^{2077961267200} is an apocalyptic number.

2077961267200 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 2077961267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3358273484475).

2077961267200 is an abundant number, since it is smaller than the sum of its proper divisors (4638585701750).

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

2077961267200 is an frugal number, since it uses more digits than its factorization.

2077961267200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 49.

The spelling of 2077961267200 in words is "two trillion, seventy-seven billion, nine hundred sixty-one million, two hundred sixty-seven thousand, two hundred".