10542370849920 has 3072 divisors, whose sum is σ = 50680967500800. Its totient is φ = 1953836826624.

The previous prime is 10542370849909. The next prime is 10542370849921. The reversal of 10542370849920 is 2994807324501.

10542370849920 is a `hidden beast` number, since 1 + 0 + 542 + 3 + 7 + 0 + 8 + 4 + 9 + 92 + 0 = 666.

It is a super-2 number, since 2×10542370849920² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10542370849921) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12359168214 + ... + 12359169066.

It is an arithmetic number, because the mean of its divisors is an integer number (16497710775).

Almost surely, 2^{10542370849920} is an apocalyptic number.

10542370849920 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 10542370849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25340483750400).

10542370849920 is an abundant number, since it is smaller than the sum of its proper divisors (40138596650880).

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

10542370849920 is a wasteful number, since it uses less digits than its factorization.

10542370849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 10542370849920 in words is "ten trillion, five hundred forty-two billion, three hundred seventy million, eight hundred forty-nine thousand, nine hundred twenty".