252078107040 has 288 divisors, whose sum is σ = 891879206400. Its totient is φ = 64765716480.

The previous prime is 252078107027. The next prime is 252078107059. The reversal of 252078107040 is 40701870252.

252078107040 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 252078106986 and 252078107004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10210231 + ... + 10234889.

It is an arithmetic number, because the mean of its divisors is an integer number (3096802800).

Almost surely, 2^252078107040 is an apocalyptic number.

252078107040 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 252078107040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445939603200).

252078107040 is an abundant number, since it is smaller than the sum of its proper divisors (639801099360).

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

252078107040 is a wasteful number, since it uses less digits than its factorization.

252078107040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24940 (or 24929 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

Adding to 252078107040 its reverse (40701870252), we get a palindrome (292779977292).

The spelling of 252078107040 in words is "two hundred fifty-two billion, seventy-eight million, one hundred seven thousand, forty".