90954178560 has 896 divisors, whose sum is σ = 382497177600. Its totient is φ = 20065812480.

The previous prime is 90954178543. The next prime is 90954178613. The reversal of 90954178560 is 6587145909.

90954178560 is a `hidden beast` number, since 9 + 0 + 9 + 5 + 4 + 1 + 78 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a junction number, because it is equal to n+sod(n) for n = 90954178497 and 90954178506.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 239984451 + ... + 239984829.

Almost surely, 2^90954178560 is an apocalyptic number.

90954178560 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 90954178560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191248588800).

90954178560 is an abundant number, since it is smaller than the sum of its proper divisors (291542999040).

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

90954178560 is a wasteful number, since it uses less digits than its factorization.

90954178560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 90954178560 in words is "ninety billion, nine hundred fifty-four million, one hundred seventy-eight thousand, five hundred sixty".