55957000380 has 192 divisors, whose sum is σ = 167267358720. Its totient is φ = 13945744384.

The previous prime is 55957000343. The next prime is 55957000381. The reversal of 55957000380 is 8300075955.

55957000380 is a nontrivial binomial coefficient, being equal to C(334536, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55957000381) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19234366 + ... + 19237274.

It is an arithmetic number, because the mean of its divisors is an integer number (871184160).

Almost surely, 2^55957000380 is an apocalyptic number.

55957000380 is the 334535-th triangular number and also the 167268-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55957000380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83633679360).

55957000380 is an abundant number, since it is smaller than the sum of its proper divisors (111310358340).

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

55957000380 is a wasteful number, since it uses less digits than its factorization.

55957000380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3260 (or 3258 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 42.

The spelling of 55957000380 in words is "fifty-five billion, nine hundred fifty-seven million, three hundred eighty", and thus it is an aban number.