30161133250560 has 1152 divisors, whose sum is σ = 116995027968000. Its totient is φ = 7418474201088.

The previous prime is 30161133250519. The next prime is 30161133250627. The reversal of 30161133250560 is 6505233116103.

30161133250560 is a `hidden beast` number, since 3 + 0 + 1 + 6 + 1 + 13 + 32 + 50 + 560 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23581808001 + ... + 23581809279.

It is an arithmetic number, because the mean of its divisors is an integer number (101558184000).

Almost surely, 2^{30161133250560} is an apocalyptic number.

30161133250560 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 30161133250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58497513984000).

30161133250560 is an abundant number, since it is smaller than the sum of its proper divisors (86833894717440).

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

30161133250560 is an frugal number, since it uses more digits than its factorization.

30161133250560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

Adding to 30161133250560 its reverse (6505233116103), we get a palindrome (36666366366663).

The spelling of 30161133250560 in words is "thirty trillion, one hundred sixty-one billion, one hundred thirty-three million, two hundred fifty thousand, five hundred sixty".