55526161600 has 336 divisors, whose sum is σ = 178058478528. Its totient is φ = 16538664960.

The previous prime is 55526161591. The next prime is 55526161601. The reversal of 55526161600 is 616162555.

It is a self number, because there is not a number n which added to its sum of digits gives 55526161600.

It is not an unprimeable number, because it can be changed into a prime (55526161601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2463984 + ... + 2486416.

It is an arithmetic number, because the mean of its divisors is an integer number (529935948).

Almost surely, 2^55526161600 is an apocalyptic number.

55526161600 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 55526161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89029239264).

55526161600 is an abundant number, since it is smaller than the sum of its proper divisors (122532316928).

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

55526161600 is a wasteful number, since it uses less digits than its factorization.

55526161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22492 (or 22477 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 37.

The spelling of 55526161600 in words is "fifty-five billion, five hundred twenty-six million, one hundred sixty-one thousand, six hundred".