8103525612000 has 3072 divisors, whose sum is σ = 36452149493760. Its totient is φ = 1525837824000.

The previous prime is 8103525611999. The next prime is 8103525612001. The reversal of 8103525612000 is 2165253018.

It is an interprime number because it is at equal distance from previous prime (8103525611999) and next prime (8103525612001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8103525612001) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 27657083854 + ... + 27657084146.

It is an arithmetic number, because the mean of its divisors is an integer number (11865934080).

Almost surely, 2^{8103525612000} is an apocalyptic number.

8103525612000 is a gapful number since it is divisible by the number (80) 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 8103525612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18226074746880).

8103525612000 is an abundant number, since it is smaller than the sum of its proper divisors (28348623881760).

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

8103525612000 is a wasteful number, since it uses less digits than its factorization.

8103525612000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 8103525612000 in words is "eight trillion, one hundred three billion, five hundred twenty-five million, six hundred twelve thousand".