5955845011600 has 135 divisors (see below), whose sum is σ = 15729401810059. Its totient is φ = 2165566585600.

The previous prime is 5955845011559. The next prime is 5955845011619. The reversal of 5955845011600 is 61105485595.

The square root of 5955845011600 is 2440460.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 290378721424 + 5665466290176 = 538868^2 + 2380224^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 536895654 + ... + 536906746.

Almost surely, 2^{5955845011600} is an apocalyptic number.

5955845011600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5955845011600 is the 2440460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5955845011600

5955845011600 is an abundant number, since it is smaller than the sum of its proper divisors (9773556798459).

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

5955845011600 is an equidigital number, since it uses as much as digits as its factorization.

5955845011600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22226 (or 11111 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 49.

Multiplying 5955845011600 by its sum of digits (49), we get a square (291836405568400 = 17083220²).

The spelling of 5955845011600 in words is "five trillion, nine hundred fifty-five billion, eight hundred forty-five million, eleven thousand, six hundred".