11077352640 has 560 divisors, whose sum is σ = 42132625920. Its totient is φ = 2754570240.

The previous prime is 11077352581. The next prime is 11077352683. The reversal of 11077352640 is 4625377011.

It is a happy number.

11077352640 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 7 + 3 + 5 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11077352595 and 11077352604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40875705 + ... + 40875975.

It is an arithmetic number, because the mean of its divisors is an integer number (75236832).

Almost surely, 2^11077352640 is an apocalyptic number.

11077352640 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 11077352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21066312960).

11077352640 is an abundant number, since it is smaller than the sum of its proper divisors (31055273280).

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

11077352640 is a wasteful number, since it uses less digits than its factorization.

11077352640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 11077352640 in words is "eleven billion, seventy-seven million, three hundred fifty-two thousand, six hundred forty".