1955116828800 has 1440 divisors, whose sum is σ = 7659263525760. Its totient is φ = 490854297600.

The previous prime is 1955116828789. The next prime is 1955116828823. The reversal of 1955116828800 is 88286115591.

1955116828800 is a `hidden beast` number, since 1 + 9 + 551 + 1 + 6 + 8 + 2 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×1955116828800³ (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 11707286317 + ... + 11707286483.

It is an arithmetic number, because the mean of its divisors is an integer number (5318933004).

Almost surely, 2^{1955116828800} is an apocalyptic number.

1955116828800 is a gapful number since it is divisible by the number (10) 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 1955116828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3829631762880).

1955116828800 is an abundant number, since it is smaller than the sum of its proper divisors (5704146696960).

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

1955116828800 is a wasteful number, since it uses less digits than its factorization.

1955116828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 54.

The spelling of 1955116828800 in words is "one trillion, nine hundred fifty-five billion, one hundred sixteen million, eight hundred twenty-eight thousand, eight hundred".