1352623400010 has 192 divisors, whose sum is σ = 3625352640000. Its totient is φ = 349782810624.

The previous prime is 1352623399987. The next prime is 1352623400017. The reversal of 1352623400010 is 100043262531.

1352623400010 is a `hidden beast` number, since 1 + 35 + 2 + 623 + 4 + 0 + 0 + 0 + 1 + 0 = 666.

It is a super-2 number, since 2×1352623400010² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1352623400017) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102085866 + ... + 102099114.

It is an arithmetic number, because the mean of its divisors is an integer number (18882045000).

Almost surely, 2^{1352623400010} is an apocalyptic number.

1352623400010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1352623400010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812676320000).

1352623400010 is an abundant number, since it is smaller than the sum of its proper divisors (2272729239990).

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

1352623400010 is a wasteful number, since it uses less digits than its factorization.

1352623400010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13597 (or 13594 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 1352623400010 its reverse (100043262531), we get a palindrome (1452666662541).

The spelling of 1352623400010 in words is "one trillion, three hundred fifty-two billion, six hundred twenty-three million, four hundred thousand, ten".