30225512570880 has 896 divisors, whose sum is σ = 109865557654272. Its totient is φ = 7030702080000.

The previous prime is 30225512570861. The next prime is 30225512570887. The reversal of 30225512570880 is 8807521552203.

It is a super-2 number, since 2×30225512570880² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (30225512570887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3380547210 + ... + 3380556150.

It is an arithmetic number, because the mean of its divisors is an integer number (122617809882).

Almost surely, 2^{30225512570880} is an apocalyptic number.

30225512570880 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 30225512570880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54932778827136).

30225512570880 is an abundant number, since it is smaller than the sum of its proper divisors (79640045083392).

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

30225512570880 is a wasteful number, since it uses less digits than its factorization.

30225512570880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9088 (or 9064 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 48.

The spelling of 30225512570880 in words is "thirty trillion, two hundred twenty-five billion, five hundred twelve million, five hundred seventy thousand, eight hundred eighty".