55765346263900 has 324 divisors, whose sum is σ = 153438700700880. Its totient is φ = 17531894016000.

The previous prime is 55765346263877. The next prime is 55765346263901. The reversal of 55765346263900 is 936264356755.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55765346263901) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 124820116 + ... + 125266084.

Almost surely, 2^{55765346263900} is an apocalyptic number.

55765346263900 is a gapful number since it is divisible by the number (50) 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 55765346263900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76719350350440).

55765346263900 is an abundant number, since it is smaller than the sum of its proper divisors (97673354436980).

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

55765346263900 is a wasteful number, since it uses less digits than its factorization.

55765346263900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446174 (or 446147 counting only the distinct ones).

The product of its (nonzero) digits is 122472000, while the sum is 61.

The spelling of 55765346263900 in words is "fifty-five trillion, seven hundred sixty-five billion, three hundred forty-six million, two hundred sixty-three thousand, nine hundred".