10745077950 has 96 divisors (see below), whose sum is σ = 29667431520. Its totient is φ = 2859667200.

The previous prime is 10745077897. The next prime is 10745077979. The reversal of 10745077950 is 5977054701.

10745077950 is a `hidden beast` number, since 1 + 0 + 74 + 507 + 79 + 5 + 0 = 666.

It is a super-3 number, since 3×10745077950³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 10745077896 and 10745077905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 695712 + ... + 710988.

It is an arithmetic number, because the mean of its divisors is an integer number (309035745).

Almost surely, 2^10745077950 is an apocalyptic number.

10745077950 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 10745077950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14833715760).

10745077950 is an abundant number, since it is smaller than the sum of its proper divisors (18922353570).

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

10745077950 is a wasteful number, since it uses less digits than its factorization.

10745077950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15819 (or 15808 counting only the distinct ones).

The product of its (nonzero) digits is 308700, while the sum is 45.

The spelling of 10745077950 in words is "ten billion, seven hundred forty-five million, seventy-seven thousand, nine hundred fifty".