10773695961600 has 1440 divisors, whose sum is σ = 42413678600832. Its totient is φ = 2394636288000.

The previous prime is 10773695961599. The next prime is 10773695961631. The reversal of 10773695961600 is 616959637701.

It is a happy number.

It is a super-2 number, since 2×10773695961600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10449753085 + ... + 10449754115.

Almost surely, 2^{10773695961600} is an apocalyptic number.

10773695961600 is a gapful number since it is divisible by the number (10) 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 10773695961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21206839300416).

10773695961600 is an abundant number, since it is smaller than the sum of its proper divisors (31639982639232).

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

10773695961600 is a wasteful number, since it uses less digits than its factorization.

10773695961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 12859560, while the sum is 60.

The spelling of 10773695961600 in words is "ten trillion, seven hundred seventy-three billion, six hundred ninety-five million, nine hundred sixty-one thousand, six hundred".