1238780252160 has 1456 divisors, whose sum is σ = 5131007530560. Its totient is φ = 283787919360.

The previous prime is 1238780252159. The next prime is 1238780252173. The reversal of 1238780252160 is 612520878321.

1238780252160 is a `hidden beast` number, since 1 + 2 + 387 + 8 + 0 + 252 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3120353082 + ... + 3120353478.

Almost surely, 2^{1238780252160} is an apocalyptic number.

1238780252160 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 1238780252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2565503765280).

1238780252160 is an abundant number, since it is smaller than the sum of its proper divisors (3892227278400).

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

1238780252160 is an equidigital number, since it uses as much as digits as its factorization.

1238780252160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1238780252160 in words is "one trillion, two hundred thirty-eight billion, seven hundred eighty million, two hundred fifty-two thousand, one hundred sixty".