1538512496640 has 1920 divisors, whose sum is σ = 6760676482560. Its totient is φ = 326998425600.

The previous prime is 1538512496611. The next prime is 1538512496671. The reversal of 1538512496640 is 466942158351.

1538512496640 is a `hidden beast` number, since 1 + 5 + 3 + 85 + 12 + 496 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×1538512496640² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5475133300 + ... + 5475133580.

It is an arithmetic number, because the mean of its divisors is an integer number (3521185668).

Almost surely, 2^{1538512496640} is an apocalyptic number.

1538512496640 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 1538512496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380338241280).

1538512496640 is an abundant number, since it is smaller than the sum of its proper divisors (5222163985920).

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

1538512496640 is a wasteful number, since it uses less digits than its factorization.

1538512496640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 1538512496640 in words is "one trillion, five hundred thirty-eight billion, five hundred twelve million, four hundred ninety-six thousand, six hundred forty".