30287900160 has 640 divisors, whose sum is σ = 125156275200. Its totient is φ = 6799196160.

The previous prime is 30287900143. The next prime is 30287900161. The reversal of 30287900160 is 6100978203.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×30287900160² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30287900161) 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, 28546030 + ... + 28547090.

It is an arithmetic number, because the mean of its divisors is an integer number (195556680).

Almost surely, 2^30287900160 is an apocalyptic number.

30287900160 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 30287900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62578137600).

30287900160 is an abundant number, since it is smaller than the sum of its proper divisors (94868375040).

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

30287900160 is a wasteful number, since it uses less digits than its factorization.

30287900160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 30287900160 in words is "thirty billion, two hundred eighty-seven million, nine hundred thousand, one hundred sixty".