10150025525024 has 192 divisors, whose sum is σ = 25072232693760. Its totient is φ = 3929469342720.

The previous prime is 10150025525021. The next prime is 10150025525039. The reversal of 10150025525024 is 42052552005101.

It is a happy number.

10150025525024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (10150025525021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253838537 + ... + 253878519.

It is an arithmetic number, because the mean of its divisors is an integer number (130584545280).

Almost surely, 2^{10150025525024} is an apocalyptic number.

10150025525024 is a gapful number since it is divisible by the number (14) 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 10150025525024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12536116346880).

10150025525024 is an abundant number, since it is smaller than the sum of its proper divisors (14922207168736).

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

10150025525024 is a wasteful number, since it uses less digits than its factorization.

10150025525024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40663 (or 40655 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 32.

The spelling of 10150025525024 in words is "ten trillion, one hundred fifty billion, twenty-five million, five hundred twenty-five thousand, twenty-four".