10140056263350 has 576 divisors, whose sum is σ = 31134515263488. Its totient is φ = 2347107840000.

The previous prime is 10140056263301. The next prime is 10140056263357. The reversal of 10140056263350 is 5336265004101.

10140056263350 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 0 + 0 + 562 + 63 + 35 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140056263357) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3830771727 + ... + 3830774373.

It is an arithmetic number, because the mean of its divisors is an integer number (54052977888).

Almost surely, 2^{10140056263350} is an apocalyptic number.

10140056263350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10140056263350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15567257631744).

10140056263350 is an abundant number, since it is smaller than the sum of its proper divisors (20994459000138).

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

10140056263350 is a wasteful number, since it uses less digits than its factorization.

10140056263350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3173 (or 3165 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 10140056263350 in words is "ten trillion, one hundred forty billion, fifty-six million, two hundred sixty-three thousand, three hundred fifty".