10240792777800 has 768 divisors, whose sum is σ = 38930341632000. Its totient is φ = 2458961556480.

The previous prime is 10240792777783. The next prime is 10240792777807. The reversal of 10240792777800 is 877729704201.

10240792777800 is a `hidden beast` number, since 1 + 0 + 2 + 407 + 92 + 7 + 77 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10240792777807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 484439631 + ... + 484460769.

It is an arithmetic number, because the mean of its divisors is an integer number (50690549000).

Almost surely, 2^{10240792777800} is an apocalyptic number.

10240792777800 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 10240792777800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19465170816000).

10240792777800 is an abundant number, since it is smaller than the sum of its proper divisors (28689548854200).

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

10240792777800 is a wasteful number, since it uses less digits than its factorization.

10240792777800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21347 (or 21332 counting only the distinct ones).

The product of its (nonzero) digits is 2765952, while the sum is 54.

The spelling of 10240792777800 in words is "ten trillion, two hundred forty billion, seven hundred ninety-two million, seven hundred seventy-seven thousand, eight hundred".