5955780441600 has 2400 divisors, whose sum is σ = 25250115889152. Its totient is φ = 1373552640000.

The previous prime is 5955780441521. The next prime is 5955780441697. The reversal of 5955780441600 is 61440875595.

It is a happy number.

5955780441600 is a `hidden beast` number, since 5 + 9 + 5 + 578 + 0 + 4 + 4 + 1 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 21977049465 + ... + 21977049735.

Almost surely, 2^{5955780441600} is an apocalyptic number.

5955780441600 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 5955780441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12625057944576).

5955780441600 is an abundant number, since it is smaller than the sum of its proper divisors (19294335447552).

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

5955780441600 is a wasteful number, since it uses less digits than its factorization.

5955780441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 5955780441600 in words is "five trillion, nine hundred fifty-five billion, seven hundred eighty million, four hundred forty-one thousand, six hundred".