1261624520010 has 64 divisors (see below), whose sum is σ = 3040511209344. Its totient is φ = 335032320000.

The previous prime is 1261624519949. The next prime is 1261624520033. The reversal of 1261624520010 is 100254261621.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 1261624520010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54934930 + ... + 54957890.

It is an arithmetic number, because the mean of its divisors is an integer number (47507987646).

Almost surely, 2^{1261624520010} is an apocalyptic number.

1261624520010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1261624520010 is an abundant number, since it is smaller than the sum of its proper divisors (1778886689334).

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

1261624520010 is a wasteful number, since it uses less digits than its factorization.

1261624520010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30519.

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 1261624520010 its reverse (100254261621), we get a palindrome (1361878781631).

The spelling of 1261624520010 in words is "one trillion, two hundred sixty-one billion, six hundred twenty-four million, five hundred twenty thousand, ten".