55101564000 has 288 divisors, whose sum is σ = 223492965696. Its totient is φ = 12594585600.

The previous prime is 55101563981. The next prime is 55101564013. The reversal of 55101564000 is 46510155.

It is a happy number.

55101564000 is a `hidden beast` number, since 5 + 5 + 1 + 0 + 15 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142672 + ... + 361328.

It is an arithmetic number, because the mean of its divisors is an integer number (776017242).

Almost surely, 2^55101564000 is an apocalyptic number.

55101564000 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 55101564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111746482848).

55101564000 is an abundant number, since it is smaller than the sum of its proper divisors (168391401696).

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

55101564000 is a wasteful number, since it uses less digits than its factorization.

55101564000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218695 (or 218674 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 55101564000 in words is "fifty-five billion, one hundred one million, five hundred sixty-four thousand".