10025121541140 has 192 divisors, whose sum is σ = 31957830858240. Its totient is φ = 2607520896000.

The previous prime is 10025121541139. The next prime is 10025121541177. The reversal of 10025121541140 is 4114512152001.

10025121541140 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 512 + 1 + 5 + 4 + 1 + 140 = 666.

10025121541140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 93620830 + ... + 93727850.

It is an arithmetic number, because the mean of its divisors is an integer number (166447035720).

Almost surely, 2^{10025121541140} is an apocalyptic number.

10025121541140 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 10025121541140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15978915429120).

10025121541140 is an abundant number, since it is smaller than the sum of its proper divisors (21932709317100).

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

10025121541140 is a wasteful number, since it uses less digits than its factorization.

10025121541140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111311 (or 111303 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Adding to 10025121541140 its reverse (4114512152001), we get a palindrome (14139633693141).

The spelling of 10025121541140 in words is "ten trillion, twenty-five billion, one hundred twenty-one million, five hundred forty-one thousand, one hundred forty".