10151521005340 has 384 divisors, whose sum is σ = 26327899825920. Its totient is φ = 3237005721600.

The previous prime is 10151521005323. The next prime is 10151521005343. The reversal of 10151521005340 is 4350012515101.

It is a junction number, because it is equal to n+sod(n) for n = 10151521005299 and 10151521005308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10151521005343) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2791178002 + ... + 2791181638.

It is an arithmetic number, because the mean of its divisors is an integer number (68562239130).

Almost surely, 2^{10151521005340} is an apocalyptic number.

10151521005340 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 10151521005340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13163949912960).

10151521005340 is an abundant number, since it is smaller than the sum of its proper divisors (16176378820580).

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

10151521005340 is a wasteful number, since it uses less digits than its factorization.

10151521005340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4233 (or 4231 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 28.

The spelling of 10151521005340 in words is "ten trillion, one hundred fifty-one billion, five hundred twenty-one million, five thousand, three hundred forty".