10635577779456 has 1080 divisors, whose sum is σ = 38312050393344. Its totient is φ = 2939432509440.

The previous prime is 10635577779397. The next prime is 10635577779539. The reversal of 10635577779456 is 65497777553601.

10635577779456 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 5 + 577 + 7 + 7 + 9 + 45 + 6 = 666.

It is a super-2 number, since 2×10635577779456² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4630202500 + ... + 4630204796.

Almost surely, 2^{10635577779456} is an apocalyptic number.

10635577779456 is a gapful number since it is divisible by the number (16) 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 10635577779456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19156025196672).

10635577779456 is an abundant number, since it is smaller than the sum of its proper divisors (27676472613888).

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

10635577779456 is an frugal number, since it uses more digits than its factorization.

10635577779456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 1166886000, while the sum is 72.

The spelling of 10635577779456 in words is "ten trillion, six hundred thirty-five billion, five hundred seventy-seven million, seven hundred seventy-nine thousand, four hundred fifty-six".