30855187722240 has 624 divisors, whose sum is σ = 122392473398208. Its totient is φ = 7043262971904.

The previous prime is 30855187722223. The next prime is 30855187722257. The reversal of 30855187722240 is 4222778155803.

30855187722240 is a `hidden beast` number, since 3 + 0 + 8 + 551 + 87 + 7 + 2 + 2 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (30855187722223) and next prime (30855187722257).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 997340052 + ... + 997370988.

It is an arithmetic number, because the mean of its divisors is an integer number (196141784292).

Almost surely, 2^{30855187722240} is an apocalyptic number.

30855187722240 is a gapful number since it is divisible by the number (30) 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 30855187722240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61196236699104).

30855187722240 is an abundant number, since it is smaller than the sum of its proper divisors (91537285675968).

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

30855187722240 is a wasteful number, since it uses less digits than its factorization.

30855187722240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31752 (or 31727 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 30855187722240 in words is "thirty trillion, eight hundred fifty-five billion, one hundred eighty-seven million, seven hundred twenty-two thousand, two hundred forty".