55766535000 has 320 divisors, whose sum is σ = 191517194880. Its totient is φ = 13415040000.

The previous prime is 55766534959. The next prime is 55766535047. The reversal of 55766535000 is 53566755.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22603767 + ... + 22606233.

It is an arithmetic number, because the mean of its divisors is an integer number (598491234).

Almost surely, 2^55766535000 is an apocalyptic number.

55766535000 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 55766535000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95758597440).

55766535000 is an abundant number, since it is smaller than the sum of its proper divisors (135750659880).

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

55766535000 is a wasteful number, since it uses less digits than its factorization.

55766535000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644 (or 2625 counting only the distinct ones).

The product of its (nonzero) digits is 472500, while the sum is 42.

The spelling of 55766535000 in words is "fifty-five billion, seven hundred sixty-six million, five hundred thirty-five thousand".