55377661824 has 128 divisors (see below), whose sum is σ = 163531296000. Its totient is φ = 18449026560.

The previous prime is 55377661817. The next prime is 55377661841. The reversal of 55377661824 is 42816677355.

55377661824 is a `hidden beast` number, since 5 + 537 + 76 + 6 + 18 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8771629 + ... + 8777939.

It is an arithmetic number, because the mean of its divisors is an integer number (1277588250).

Almost surely, 2^55377661824 is an apocalyptic number.

55377661824 is a gapful number since it is divisible by the number (54) 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 55377661824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81765648000).

55377661824 is an abundant number, since it is smaller than the sum of its proper divisors (108153634176).

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

55377661824 is a wasteful number, since it uses less digits than its factorization.

55377661824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8873 (or 8855 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

It can be divided in two parts, 5537 and 7661824, that added together give a square (7667361 = 2769²).

The spelling of 55377661824 in words is "fifty-five billion, three hundred seventy-seven million, six hundred sixty-one thousand, eight hundred twenty-four".