30623125800960 has 1152 divisors, whose sum is σ = 138140300188800. Its totient is φ = 6363215953920.

The previous prime is 30623125800947. The next prime is 30623125801007. The reversal of 30623125800960 is 6900852132603.

30623125800960 is a `hidden beast` number, since 3 + 0 + 6 + 2 + 3 + 1 + 2 + 580 + 0 + 9 + 60 = 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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 148919974 + ... + 149125466.

It is an arithmetic number, because the mean of its divisors is an integer number (119913455025).

Almost surely, 2^{30623125800960} is an apocalyptic number.

30623125800960 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 30623125800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69070150094400).

30623125800960 is an abundant number, since it is smaller than the sum of its proper divisors (107517174387840).

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

30623125800960 is a wasteful number, since it uses less digits than its factorization.

30623125800960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205554 (or 205521 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 30623125800960 in words is "thirty trillion, six hundred twenty-three billion, one hundred twenty-five million, eight hundred thousand, nine hundred sixty".