24870427423380 has 576 divisors, whose sum is σ = 94553585957376. Its totient is φ = 5140555776000.

The previous prime is 24870427423339. The next prime is 24870427423381. The reversal of 24870427423380 is 8332472407842.

24870427423380 is a `hidden beast` number, since 2 + 4 + 8 + 70 + 427 + 42 + 33 + 80 = 666.

It is a super-2 number, since 2×24870427423380² (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 (24870427423381) 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, 3813894520 + ... + 3813901040.

It is an arithmetic number, because the mean of its divisors is an integer number (164155531176).

Almost surely, 2^{24870427423380} is an apocalyptic number.

24870427423380 is a gapful number since it is divisible by the number (20) 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 24870427423380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47276792978688).

24870427423380 is an abundant number, since it is smaller than the sum of its proper divisors (69683158533996).

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

24870427423380 is a wasteful number, since it uses less digits than its factorization.

24870427423380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7968 (or 7963 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 54.

The spelling of 24870427423380 in words is "twenty-four trillion, eight hundred seventy billion, four hundred twenty-seven million, four hundred twenty-three thousand, three hundred eighty".