9055456776000 has 1792 divisors, whose sum is σ = 36973946880000. Its totient is φ = 2158173388800.

The previous prime is 9055456775969. The next prime is 9055456776031. The reversal of 9055456776000 is 6776545509.

9055456776000 is a `hidden beast` number, since 9 + 0 + 5 + 5 + 4 + 567 + 76 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9055456775969) and next prime (9055456776031).

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 255 ways as a sum of consecutive naturals, for example, 15117623701 + ... + 15117624299.

Almost surely, 2^{9055456776000} is an apocalyptic number.

9055456776000 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 9055456776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18486973440000).

9055456776000 is an abundant number, since it is smaller than the sum of its proper divisors (27918490104000).

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

9055456776000 is a wasteful number, since it uses less digits than its factorization.

9055456776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 9055456776000 in words is "nine trillion, fifty-five billion, four hundred fifty-six million, seven hundred seventy-six thousand".