10542389760 has 640 divisors, whose sum is σ = 43486502400. Its totient is φ = 2400731136.

The previous prime is 10542389747. The next prime is 10542389833. The reversal of 10542389760 is 6798324501.

10542389760 is a `hidden beast` number, since 1 + 0 + 542 + 38 + 9 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×10542389760² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39190906 + ... + 39191174.

It is an arithmetic number, because the mean of its divisors is an integer number (67947660).

It is a 1-persistent number, because it is pandigital, but 2⋅10542389760 = 21084779520 is not.

Almost surely, 2^10542389760 is an apocalyptic number.

10542389760 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 10542389760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21743251200).

10542389760 is an abundant number, since it is smaller than the sum of its proper divisors (32944112640).

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

10542389760 is an frugal number, since it uses more digits than its factorization.

10542389760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 10542389760 in words is "ten billion, five hundred forty-two million, three hundred eighty-nine thousand, seven hundred sixty".