10214513511540 has 48 divisors (see below), whose sum is σ = 30800686898688. Its totient is φ = 2514341787264.

The previous prime is 10214513511523. The next prime is 10214513511551. The reversal of 10214513511540 is 4511531541201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6547764292 + ... + 6547765851.

It is an arithmetic number, because the mean of its divisors is an integer number (641680977056).

Almost surely, 2^{10214513511540} is an apocalyptic number.

10214513511540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10214513511540 is an abundant number, since it is smaller than the sum of its proper divisors (20586173387148).

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

10214513511540 is a wasteful number, since it uses less digits than its factorization.

10214513511540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13095530168 (or 13095530166 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 33.

The spelling of 10214513511540 in words is "ten trillion, two hundred fourteen billion, five hundred thirteen million, five hundred eleven thousand, five hundred forty".