55601700 has 288 divisors, whose sum is σ = 209986560. Its totient is φ = 11020800.

The previous prime is 55601669. The next prime is 55601737. The reversal of 55601700 is 710655.

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, 669859 + ... + 669941.

It is an arithmetic number, because the mean of its divisors is an integer number (729120).

Almost surely, 2^55601700 is an apocalyptic number.

55601700 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 55601700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104993280).

55601700 is an abundant number, since it is smaller than the sum of its proper divisors (154384860).

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

55601700 is a wasteful number, since it uses less digits than its factorization.

55601700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 55601700 is about 7456.6547459300. The cubic root of 55601700 is about 381.6770293541.

It can be divided in two parts, 5560 and 1700, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 55601700 in words is "fifty-five million, six hundred one thousand, seven hundred".