55633263660 has 288 divisors, whose sum is σ = 185917612608. Its totient is φ = 13381355520.

The previous prime is 55633263659. The next prime is 55633263689. The reversal of 55633263660 is 6636233655.

55633263660 is a `hidden beast` number, since 5 + 5 + 6 + 3 + 3 + 2 + 636 + 6 + 0 = 666.

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

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, 36337095 + ... + 36338625.

It is an arithmetic number, because the mean of its divisors is an integer number (645547266).

Almost surely, 2^55633263660 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 55633263660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92958806304).

55633263660 is an abundant number, since it is smaller than the sum of its proper divisors (130284348948).

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

55633263660 is a wasteful number, since it uses less digits than its factorization.

55633263660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 45.

The spelling of 55633263660 in words is "fifty-five billion, six hundred thirty-three million, two hundred sixty-three thousand, six hundred sixty".