10140778524528 has 480 divisors, whose sum is σ = 29927984486400. Its totient is φ = 3201659136000.

The previous prime is 10140778524521. The next prime is 10140778524563. The reversal of 10140778524528 is 82542587704101.

10140778524528 is a `hidden beast` number, since 1 + 0 + 1 + 40 + 7 + 78 + 5 + 2 + 4 + 528 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140778524521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15771039375 + ... + 15771040017.

It is an arithmetic number, because the mean of its divisors is an integer number (62349967680).

Almost surely, 2^{10140778524528} is an apocalyptic number.

10140778524528 is a gapful number since it is divisible by the number (18) 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 10140778524528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14963992243200).

10140778524528 is an abundant number, since it is smaller than the sum of its proper divisors (19787205961872).

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

10140778524528 is a wasteful number, since it uses less digits than its factorization.

10140778524528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 54.

The spelling of 10140778524528 in words is "ten trillion, one hundred forty billion, seven hundred seventy-eight million, five hundred twenty-four thousand, five hundred twenty-eight".