24978008028792 has 256 divisors, whose sum is σ = 78741500866560. Its totient is φ = 6426837540864.

The previous prime is 24978008028791. The next prime is 24978008028829. The reversal of 24978008028792 is 29782080087942.

It is a super-2 number, since 2×24978008028792² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24978008028791) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31740108 + ... + 32517540.

It is an arithmetic number, because the mean of its divisors is an integer number (307583987760).

Almost surely, 2^{24978008028792} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24978008028792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39370750433280).

24978008028792 is an abundant number, since it is smaller than the sum of its proper divisors (53763492837768).

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

24978008028792 is a wasteful number, since it uses less digits than its factorization.

24978008028792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777822 (or 777818 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 66.

The spelling of 24978008028792 in words is "twenty-four trillion, nine hundred seventy-eight billion, eight million, twenty-eight thousand, seven hundred ninety-two".