55280377152 has 1344 divisors, whose sum is σ = 228142946304. Its totient is φ = 12809871360.

The previous prime is 55280377133. The next prime is 55280377153. The reversal of 55280377152 is 25177308255.

55280377152 is a `hidden beast` number, since 5 + 52 + 80 + 377 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×55280377152² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55280377098 and 55280377107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55280377153) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 825080223 + ... + 825080289.

It is an arithmetic number, because the mean of its divisors is an integer number (169749216).

Almost surely, 2^55280377152 is an apocalyptic number.

55280377152 is a gapful number since it is divisible by the number (52) 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 55280377152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114071473152).

55280377152 is an abundant number, since it is smaller than the sum of its proper divisors (172862569152).

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

55280377152 is a wasteful number, since it uses less digits than its factorization.

55280377152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 55280377152 in words is "fifty-five billion, two hundred eighty million, three hundred seventy-seven thousand, one hundred fifty-two".