30100162560 has 768 divisors, whose sum is σ = 112935513600. Its totient is φ = 6782189568.

The previous prime is 30100162529. The next prime is 30100162601. The reversal of 30100162560 is 6526100103.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×30100162560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30100162560.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 266373064 + ... + 266373176.

It is an arithmetic number, because the mean of its divisors is an integer number (147051450).

Almost surely, 2^30100162560 is an apocalyptic number.

30100162560 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 30100162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56467756800).

30100162560 is an abundant number, since it is smaller than the sum of its proper divisors (82835351040).

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

30100162560 is a wasteful number, since it uses less digits than its factorization.

30100162560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 30100162560 its reverse (6526100103), we get a palindrome (36626262663).

The spelling of 30100162560 in words is "thirty billion, one hundred million, one hundred sixty-two thousand, five hundred sixty".