10015137027450 has 144 divisors (see below), whose sum is σ = 27011864880000. Its totient is φ = 2660339548800.

The previous prime is 10015137027433. The next prime is 10015137027487. The reversal of 10015137027450 is 5472073151001.

10015137027450 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 513 + 70 + 2 + 74 + 5 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 216759451 + ... + 216805649.

It is an arithmetic number, because the mean of its divisors is an integer number (187582395000).

Almost surely, 2^{10015137027450} is an apocalyptic number.

10015137027450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10015137027450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13505932440000).

10015137027450 is an abundant number, since it is smaller than the sum of its proper divisors (16996727852550).

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

10015137027450 is a wasteful number, since it uses less digits than its factorization.

10015137027450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48077 (or 48069 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 10015137027450 in words is "ten trillion, fifteen billion, one hundred thirty-seven million, twenty-seven thousand, four hundred fifty".