10534894755840 has 4032 divisors, whose sum is σ = 50511803472000. Its totient is φ = 2019859365888.

The previous prime is 10534894755799. The next prime is 10534894755883. The reversal of 10534894755840 is 4855749843501.

It is a happy number.

10534894755840 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 4 + 8 + 9 + 47 + 5 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×10534894755840² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 363272232946 + ... + 363272232974.

Almost surely, 2^{10534894755840} is an apocalyptic number.

10534894755840 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 10534894755840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25255901736000).

10534894755840 is an abundant number, since it is smaller than the sum of its proper divisors (39976908716160).

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

10534894755840 is a wasteful number, since it uses less digits than its factorization.

10534894755840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 10534894755840 in words is "ten trillion, five hundred thirty-four billion, eight hundred ninety-four million, seven hundred fifty-five thousand, eight hundred forty".