1505688403968 has 1200 divisors, whose sum is σ = 5572298350080. Its totient is φ = 397303087104.

The previous prime is 1505688403963. The next prime is 1505688403981. The reversal of 1505688403968 is 8693048865051.

1505688403968 is a `hidden beast` number, since 1 + 5 + 0 + 568 + 8 + 4 + 0 + 3 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1505688403963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51920289778 + ... + 51920289806.

Almost surely, 2^{1505688403968} is an apocalyptic number.

1505688403968 is a gapful number since it is divisible by the number (18) 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 1505688403968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786149175040).

1505688403968 is an abundant number, since it is smaller than the sum of its proper divisors (4066609946112).

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

1505688403968 is an frugal number, since it uses more digits than its factorization.

1505688403968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 1505688403968 in words is "one trillion, five hundred five billion, six hundred eighty-eight million, four hundred three thousand, nine hundred sixty-eight".