18955822354560 has 1152 divisors, whose sum is σ = 82171879695360. Its totient is φ = 3991130357760.

The previous prime is 18955822354519. The next prime is 18955822354571. The reversal of 18955822354560 is 6545322855981.

It is a happy number.

18955822354560 is a `hidden beast` number, since 1 + 8 + 9 + 5 + 5 + 8 + 2 + 23 + 545 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×18955822354560² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 1845562225 + ... + 1845572495.

It is an arithmetic number, because the mean of its divisors is an integer number (71329756680).

Almost surely, 2^{18955822354560} is an apocalyptic number.

18955822354560 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 18955822354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41085939847680).

18955822354560 is an abundant number, since it is smaller than the sum of its proper divisors (63216057340800).

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

18955822354560 is a wasteful number, since it uses less digits than its factorization.

18955822354560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10826 (or 10804 counting only the distinct ones).

The product of its (nonzero) digits is 103680000, while the sum is 63.

The spelling of 18955822354560 in words is "eighteen trillion, nine hundred fifty-five billion, eight hundred twenty-two million, three hundred fifty-four thousand, five hundred sixty".