9772055654400 has 1872 divisors, whose sum is σ = 41412581237664. Its totient is φ = 2262659235840.

The previous prime is 9772055654269. The next prime is 9772055654437. The reversal of 9772055654400 is 44565502779.

It is a happy number.

9772055654400 is a `hidden beast` number, since 9 + 7 + 72 + 0 + 5 + 565 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

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 143 ways as a sum of consecutive naturals, for example, 5499186312 + ... + 5499188088.

It is an arithmetic number, because the mean of its divisors is an integer number (22122105362).

Almost surely, 2^{9772055654400} is an apocalyptic number.

9772055654400 is a gapful number since it is divisible by the number (90) 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 9772055654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20706290618832).

9772055654400 is an abundant number, since it is smaller than the sum of its proper divisors (31640525583264).

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

9772055654400 is a wasteful number, since it uses less digits than its factorization.

9772055654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 9772055654400 in words is "nine trillion, seven hundred seventy-two billion, fifty-five million, six hundred fifty-four thousand, four hundred".