11477077920 has 1440 divisors, whose sum is σ = 54060120576. Its totient is φ = 2264371200.

The previous prime is 11477077919. The next prime is 11477077921. The reversal of 11477077920 is 2977077411.

It is an interprime number because it is at equal distance from previous prime (11477077919) and next prime (11477077921).

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (11477077921) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 216548614 + ... + 216548666.

Almost surely, 2^11477077920 is an apocalyptic number.

11477077920 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 11477077920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27030060288).

11477077920 is an abundant number, since it is smaller than the sum of its proper divisors (42583042656).

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

11477077920 is a wasteful number, since it uses less digits than its factorization.

11477077920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 172872, while the sum is 45.

The spelling of 11477077920 in words is "eleven billion, four hundred seventy-seven million, seventy-seven thousand, nine hundred twenty".