10542542000 has 160 divisors (see below), whose sum is σ = 26600630784. Its totient is φ = 4036608000.

The previous prime is 10542541973. The next prime is 10542542029. The reversal of 10542542000 is 24524501.

It is a happy number.

It is a super-2 number, since 2×10542542000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6013124 + ... + 6014876.

Almost surely, 2^10542542000 is an apocalyptic number.

10542542000 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 10542542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13300315392).

10542542000 is an abundant number, since it is smaller than the sum of its proper divisors (16058088784).

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

10542542000 is a wasteful number, since it uses less digits than its factorization.

10542542000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The spelling of 10542542000 in words is "ten billion, five hundred forty-two million, five hundred forty-two thousand".