11677601540 has 48 divisors (see below), whose sum is σ = 26761178304. Its totient is φ = 4244995200.

The previous prime is 11677601521. The next prime is 11677601543. The reversal of 11677601540 is 4510677611.

It is a junction number, because it is equal to n+sod(n) for n = 11677601494 and 11677601503.

It is not an unprimeable number, because it can be changed into a prime (11677601543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 846095 + ... + 859785.

It is an arithmetic number, because the mean of its divisors is an integer number (557524548).

Almost surely, 2^11677601540 is an apocalyptic number.

11677601540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11677601540 is an abundant number, since it is smaller than the sum of its proper divisors (15083576764).

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

11677601540 is a wasteful number, since it uses less digits than its factorization.

11677601540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17588 (or 17586 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 38.

The spelling of 11677601540 in words is "eleven billion, six hundred seventy-seven million, six hundred one thousand, five hundred forty".