10829938775040 has 3168 divisors, whose sum is σ = 50231485624320. Its totient is φ = 2188845711360.

The previous prime is 10829938775023. The next prime is 10829938775069. The reversal of 10829938775040 is 4057783992801.

10829938775040 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 99 + 38 + 7 + 7 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a super-2 number, since 2×10829938775040² (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, 45313551241 + ... + 45313551479.

It is an arithmetic number, because the mean of its divisors is an integer number (15855898240).

Almost surely, 2^{10829938775040} is an apocalyptic number.

10829938775040 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 10829938775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25115742812160).

10829938775040 is an abundant number, since it is smaller than the sum of its proper divisors (39401546849280).

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

10829938775040 is a wasteful number, since it uses less digits than its factorization.

10829938775040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 10829938775040 in words is "ten trillion, eight hundred twenty-nine billion, nine hundred thirty-eight million, seven hundred seventy-five thousand, forty".