30550029128640 has 672 divisors, whose sum is σ = 124711433892864. Its totient is φ = 6973168435200.

The previous prime is 30550029128629. The next prime is 30550029128653. The reversal of 30550029128640 is 4682192005503.

30550029128640 is a `hidden beast` number, since 3 + 0 + 5 + 500 + 29 + 1 + 2 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 395682040 + ... + 395759240.

It is an arithmetic number, because the mean of its divisors is an integer number (185582490912).

Almost surely, 2^{30550029128640} is an apocalyptic number.

30550029128640 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 30550029128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62355716946432).

30550029128640 is an abundant number, since it is smaller than the sum of its proper divisors (94161404764224).

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

30550029128640 is an equidigital number, since it uses as much as digits as its factorization.

30550029128640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77967 (or 77945 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 30550029128640 in words is "thirty trillion, five hundred fifty billion, twenty-nine million, one hundred twenty-eight thousand, six hundred forty".