10145486520 has 320 divisors, whose sum is σ = 37200240000. Its totient is φ = 2464929792.

The previous prime is 10145486509. The next prime is 10145486551. The reversal of 10145486520 is 2568454101.

It is a happy number.

10145486520 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 54 + 86 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3325956 + ... + 3329004.

It is an arithmetic number, because the mean of its divisors is an integer number (116250750).

Almost surely, 2^10145486520 is an apocalyptic number.

10145486520 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 10145486520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18600120000).

10145486520 is an abundant number, since it is smaller than the sum of its proper divisors (27054753480).

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

10145486520 is a wasteful number, since it uses less digits than its factorization.

10145486520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3164 (or 3151 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 10145486520 in words is "ten billion, one hundred forty-five million, four hundred eighty-six thousand, five hundred twenty".