1540688061120 has 448 divisors, whose sum is σ = 5501951529984. Its totient is φ = 362431365120.

The previous prime is 1540688061119. The next prime is 1540688061181. The reversal of 1540688061120 is 211608860451.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 499735099 + ... + 499738181.

It is an arithmetic number, because the mean of its divisors is an integer number (12281141808).

Almost surely, 2^{1540688061120} is an apocalyptic number.

1540688061120 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 1540688061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2750975764992).

1540688061120 is an abundant number, since it is smaller than the sum of its proper divisors (3961263468864).

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

1540688061120 is a wasteful number, since it uses less digits than its factorization.

1540688061120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4880 (or 4870 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 1540688061120 in words is "one trillion, five hundred forty billion, six hundred eighty-eight million, sixty-one thousand, one hundred twenty".