55765649940 has 864 divisors, whose sum is σ = 218775287808. Its totient is φ = 10378368000.

The previous prime is 55765649921. The next prime is 55765649999. The reversal of 55765649940 is 4994656755.

55765649940 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 (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 369308865 + ... + 369309015.

Almost surely, 2^55765649940 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 55765649940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109387643904).

55765649940 is an abundant number, since it is smaller than the sum of its proper divisors (163009637868).

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

55765649940 is a wasteful number, since it uses less digits than its factorization.

55765649940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 60.

The spelling of 55765649940 in words is "fifty-five billion, seven hundred sixty-five million, six hundred forty-nine thousand, nine hundred forty".