1521752956416 has 1200 divisors, whose sum is σ = 6068971560960. Its totient is φ = 374352814080.

The previous prime is 1521752956363. The next prime is 1521752956417. The reversal of 1521752956416 is 6146592571251.

1521752956416 is a `hidden beast` number, since 1 + 5 + 2 + 1 + 75 + 2 + 9 + 564 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1521752956417) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 424712961 + ... + 424716543.

Almost surely, 2^{1521752956416} is an apocalyptic number.

1521752956416 is a gapful number since it is divisible by the number (16) 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 1521752956416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034485780480).

1521752956416 is an abundant number, since it is smaller than the sum of its proper divisors (4547218604544).

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

1521752956416 is a wasteful number, since it uses less digits than its factorization.

1521752956416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657 (or 3625 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 54.

The spelling of 1521752956416 in words is "one trillion, five hundred twenty-one billion, seven hundred fifty-two million, nine hundred fifty-six thousand, four hundred sixteen".