55077732000 has 960 divisors, whose sum is σ = 222615993600. Its totient is φ = 13275187200.

The previous prime is 55077731959. The next prime is 55077732007. The reversal of 55077732000 is 23777055.

55077732000 is a `hidden beast` number, since 550 + 7 + 77 + 32 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55077732007) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 141587806 + ... + 141588194.

It is an arithmetic number, because the mean of its divisors is an integer number (231891660).

Almost surely, 2^55077732000 is an apocalyptic number.

55077732000 is a gapful number since it is divisible by the number (50) 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 55077732000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111307996800).

55077732000 is an abundant number, since it is smaller than the sum of its proper divisors (167538261600).

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

55077732000 is a wasteful number, since it uses less digits than its factorization.

55077732000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 51450, while the sum is 36.

The spelling of 55077732000 in words is "fifty-five billion, seventy-seven million, seven hundred thirty-two thousand".