11961637273600 has 513 divisors, whose sum is σ = 34687761675147. Its totient is φ = 4079883386880.

The previous prime is 11961637273517. The next prime is 11961637273639. The reversal of 11961637273600 is 637273616911.

The square root of 11961637273600 is 3458560.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1923791192064 + 10037846081536 = 1387008^2 + 3168256^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 61977395104 + ... + 61977395296.

Almost surely, 2^{11961637273600} is an apocalyptic number.

11961637273600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11961637273600 is the 3458560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11961637273600

11961637273600 is an abundant number, since it is smaller than the sum of its proper divisors (22726124401547).

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

11961637273600 is an frugal number, since it uses more digits than its factorization.

11961637273600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 52.

The spelling of 11961637273600 in words is "eleven trillion, nine hundred sixty-one billion, six hundred thirty-seven million, two hundred seventy-three thousand, six hundred".