10151025002624 has 128 divisors (see below), whose sum is σ = 22154727640320. Its totient is φ = 4594574499840.

The previous prime is 10151025002563. The next prime is 10151025002653. The reversal of 10151025002624 is 42620052015101.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349815764 + ... + 349844780.

It is an arithmetic number, because the mean of its divisors is an integer number (173083809690).

Almost surely, 2^{10151025002624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10151025002624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11077363820160).

10151025002624 is an abundant number, since it is smaller than the sum of its proper divisors (12003702637696).

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

10151025002624 is a wasteful number, since it uses less digits than its factorization.

10151025002624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30086 (or 30074 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

Adding to 10151025002624 its reverse (42620052015101), we get a palindrome (52771077017725).

The spelling of 10151025002624 in words is "ten trillion, one hundred fifty-one billion, twenty-five million, two thousand, six hundred twenty-four".