10751936157792 has 192 divisors, whose sum is σ = 32133537112320. Its totient is φ = 3495601382400.

The previous prime is 10751936157733. The next prime is 10751936157797. The reversal of 10751936157792 is 29775163915701.

10751936157792 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 1 + 9 + 3 + 615 + 7 + 7 + 9 + 2 = 666.

It is a super-2 number, since 2×10751936157792² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10751936157797) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134677567 + ... + 134757377.

It is an arithmetic number, because the mean of its divisors is an integer number (167362172460).

Almost surely, 2^{10751936157792} is an apocalyptic number.

10751936157792 is a gapful number since it is divisible by the number (12) 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 10751936157792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16066768556160).

10751936157792 is an abundant number, since it is smaller than the sum of its proper divisors (21381600954528).

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

10751936157792 is a wasteful number, since it uses less digits than its factorization.

10751936157792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83674 (or 83660 counting only the distinct ones).

The product of its (nonzero) digits is 25004700, while the sum is 63.

The spelling of 10751936157792 in words is "ten trillion, seven hundred fifty-one billion, nine hundred thirty-six million, one hundred fifty-seven thousand, seven hundred ninety-two".