10142623560 has 192 divisors, whose sum is σ = 31948862400. Its totient is φ = 2572856832.

The previous prime is 10142623553. The next prime is 10142623597. The reversal of 10142623560 is 6532624101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21718447 + ... + 21718913.

It is an arithmetic number, because the mean of its divisors is an integer number (166400325).

Almost surely, 2^10142623560 is an apocalyptic number.

10142623560 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 10142623560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15974431200).

10142623560 is an abundant number, since it is smaller than the sum of its proper divisors (21806238840).

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

10142623560 is a wasteful number, since it uses less digits than its factorization.

10142623560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 10142623560 in words is "ten billion, one hundred forty-two million, six hundred twenty-three thousand, five hundred sixty".