11677285620 has 960 divisors, whose sum is σ = 51909580800. Its totient is φ = 2116316160.

The previous prime is 11677285553. The next prime is 11677285651. The reversal of 11677285620 is 2658277611.

11677285620 is a `hidden beast` number, since 1 + 1 + 67 + 7 + 28 + 562 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 30810591 + ... + 30810969.

It is an arithmetic number, because the mean of its divisors is an integer number (54072480).

Almost surely, 2^11677285620 is an apocalyptic number.

11677285620 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 11677285620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25954790400).

11677285620 is an abundant number, since it is smaller than the sum of its proper divisors (40232295180).

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

11677285620 is a wasteful number, since it uses less digits than its factorization.

11677285620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 11677285620 in words is "eleven billion, six hundred seventy-seven million, two hundred eighty-five thousand, six hundred twenty".