1515716237952 has 1152 divisors, whose sum is σ = 5446257523200. Its totient is φ = 402756157440.

The previous prime is 1515716237927. The next prime is 1515716237989. The reversal of 1515716237952 is 2597326175151.

It is a happy number.

1515716237952 is a `hidden beast` number, since 1 + 5 + 1 + 5 + 7 + 1 + 623 + 7 + 9 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5471899638 + ... + 5471899914.

It is an arithmetic number, because the mean of its divisors is an integer number (4727654100).

Almost surely, 2^{1515716237952} is an apocalyptic number.

1515716237952 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 1515716237952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2723128761600).

1515716237952 is an abundant number, since it is smaller than the sum of its proper divisors (3930541285248).

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

1515716237952 is a wasteful number, since it uses less digits than its factorization.

1515716237952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 432 counting only the distinct ones).

The product of its digits is 3969000, while the sum is 54.

The spelling of 1515716237952 in words is "one trillion, five hundred fifteen billion, seven hundred sixteen million, two hundred thirty-seven thousand, nine hundred fifty-two".