252786409908480 has 1152 divisors, whose sum is σ = 1081718236569600. Its totient is φ = 54608272588800.

The previous prime is 252786409908353. The next prime is 252786409908497. The reversal of 252786409908480 is 84809904687252.

252786409908480 is a `hidden beast` number, since 2 + 5 + 27 + 86 + 40 + 9 + 9 + 0 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 252786409908399 and 252786409908408.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1935052765 + ... + 1935183395.

It is an arithmetic number, because the mean of its divisors is an integer number (938991524800).

Almost surely, 2^{252786409908480} is an apocalyptic number.

252786409908480 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 252786409908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540859118284800).

252786409908480 is an abundant number, since it is smaller than the sum of its proper divisors (828931826661120).

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

252786409908480 is a wasteful number, since it uses less digits than its factorization.

252786409908480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131108 (or 131088 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 252786409908480 in words is "two hundred fifty-two trillion, seven hundred eighty-six billion, four hundred nine million, nine hundred eight thousand, four hundred eighty".