1540239852096 has 315 divisors, whose sum is σ = 5021760124227. Its totient is φ = 466441493760.

The previous prime is 1540239852037. The next prime is 1540239852127. The reversal of 1540239852096 is 6902589320451.

The square root of 1540239852096 is 1241064.

It is a perfect power (a square), and thus also a powerful number.

1540239852096 is a `hidden beast` number, since 1 + 5 + 4 + 0 + 23 + 9 + 8 + 520 + 96 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 982921905 + ... + 982923471.

Almost surely, 2^{1540239852096} is an apocalyptic number.

1540239852096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1540239852096 is the 1241064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1540239852096

1540239852096 is an abundant number, since it is smaller than the sum of its proper divisors (3481520272131).

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

1540239852096 is an frugal number, since it uses more digits than its factorization.

1540239852096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3180 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 1540239852096 in words is "one trillion, five hundred forty billion, two hundred thirty-nine million, eight hundred fifty-two thousand, ninety-six".