1503971868672 has 384 divisors, whose sum is σ = 5347469356320. Its totient is φ = 396644843520.

The previous prime is 1503971868647. The next prime is 1503971868677. The reversal of 1503971868672 is 2768681793051.

1503971868672 is a `hidden beast` number, since 1 + 5 + 0 + 397 + 186 + 8 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 (1503971868677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26808972 + ... + 26865012.

Almost surely, 2^{1503971868672} is an apocalyptic number.

1503971868672 is a gapful number since it is divisible by the number (12) 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 1503971868672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673734678160).

1503971868672 is an abundant number, since it is smaller than the sum of its proper divisors (3843497487648).

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

1503971868672 is an equidigital number, since it uses as much as digits as its factorization.

1503971868672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56097 (or 56066 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 1503971868672 in words is "one trillion, five hundred three billion, nine hundred seventy-one million, eight hundred sixty-eight thousand, six hundred seventy-two".