10030500864000 has 2240 divisors, whose sum is σ = 39900092424192. Its totient is φ = 2502918144000.

The previous prime is 10030500863983. The next prime is 10030500864029. The reversal of 10030500864000 is 46800503001.

10030500864000 is a `hidden beast` number, since 10 + 0 + 3 + 0 + 5 + 0 + 0 + 8 + 640 + 0 + 0 = 666.

It is a super-2 number, since 2×10030500864000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 120849407959 + ... + 120849408041.

Almost surely, 2^{10030500864000} is an apocalyptic number.

10030500864000 is a gapful number since it is divisible by the number (10) 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 10030500864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19950046212096).

10030500864000 is an abundant number, since it is smaller than the sum of its proper divisors (29869591560192).

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

10030500864000 is an frugal number, since it uses more digits than its factorization.

10030500864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 10030500864000 in words is "ten trillion, thirty billion, five hundred million, eight hundred sixty-four thousand".