1521972460800 has 1296 divisors, whose sum is σ = 6215384898240. Its totient is φ = 364102041600.

The previous prime is 1521972460783. The next prime is 1521972460829. The reversal of 1521972460800 is 80642791251.

1521972460800 is a `hidden beast` number, since 1 + 5 + 2 + 19 + 7 + 24 + 608 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1735429962 + ... + 1735430838.

Almost surely, 2^{1521972460800} is an apocalyptic number.

1521972460800 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 1521972460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107692449120).

1521972460800 is an abundant number, since it is smaller than the sum of its proper divisors (4693412437440).

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

1521972460800 is a wasteful number, since it uses less digits than its factorization.

1521972460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1521972460800 in words is "one trillion, five hundred twenty-one billion, nine hundred seventy-two million, four hundred sixty thousand, eight hundred".