30055777678080 has 3240 divisors, whose sum is σ = 145054656408816. Its totient is φ = 5874823987200.

The previous prime is 30055777678067. The next prime is 30055777678117. The reversal of 30055777678080 is 8087677755003.

30055777678080 is a `hidden beast` number, since 3 + 0 + 0 + 557 + 7 + 7 + 6 + 78 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a super-2 number, since 2×30055777678080² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 30055777677999 and 30055777678017.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 16150336350 + ... + 16150338210.

Almost surely, 2^{30055777678080} is an apocalyptic number.

30055777678080 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 30055777678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72527328204408).

30055777678080 is an abundant number, since it is smaller than the sum of its proper divisors (114998878730736).

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

30055777678080 is a wasteful number, since it uses less digits than its factorization.

30055777678080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 69148800, while the sum is 63.

The spelling of 30055777678080 in words is "thirty trillion, fifty-five billion, seven hundred seventy-seven million, six hundred seventy-eight thousand, eighty".