1513375827840 has 1152 divisors, whose sum is σ = 5949910512000. Its totient is φ = 353301626880.

The previous prime is 1513375827811. The next prime is 1513375827893. The reversal of 1513375827840 is 487285733151.

1513375827840 is a `hidden beast` number, since 1 + 5 + 13 + 3 + 7 + 582 + 7 + 8 + 40 = 666.

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

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, 1866061035 + ... + 1866061845.

It is an arithmetic number, because the mean of its divisors is an integer number (5164852875).

Almost surely, 2^{1513375827840} is an apocalyptic number.

1513375827840 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 1513375827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974955256000).

1513375827840 is an abundant number, since it is smaller than the sum of its proper divisors (4436534684160).

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

1513375827840 is a wasteful number, since it uses less digits than its factorization.

1513375827840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 1513375827840 in words is "one trillion, five hundred thirteen billion, three hundred seventy-five million, eight hundred twenty-seven thousand, eight hundred forty".