55763540280 has 384 divisors, whose sum is σ = 215474688000. Its totient is φ = 12238387200.

The previous prime is 55763540279. The next prime is 55763540299. The reversal of 55763540280 is 8204536755.

55763540280 is a `hidden beast` number, since 5 + 5 + 7 + 635 + 4 + 0 + 2 + 8 + 0 = 666.

55763540280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10230996 + ... + 10236444.

It is an arithmetic number, because the mean of its divisors is an integer number (561132000).

Almost surely, 2^55763540280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55763540280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107737344000).

55763540280 is an abundant number, since it is smaller than the sum of its proper divisors (159711147720).

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

55763540280 is a wasteful number, since it uses less digits than its factorization.

55763540280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5635 (or 5628 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 55763540280 in words is "fifty-five billion, seven hundred sixty-three million, five hundred forty thousand, two hundred eighty".