1540054225680 has 320 divisors, whose sum is σ = 5078804364288. Its totient is φ = 384708280320.

The previous prime is 1540054225669. The next prime is 1540054225727. The reversal of 1540054225680 is 865224500451.

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, 1409015214 + ... + 1409016306.

Almost surely, 2^{1540054225680} is an apocalyptic number.

1540054225680 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 1540054225680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539402182144).

1540054225680 is an abundant number, since it is smaller than the sum of its proper divisors (3538750138608).

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

1540054225680 is a wasteful number, since it uses less digits than its factorization.

1540054225680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 42.

The spelling of 1540054225680 in words is "one trillion, five hundred forty billion, fifty-four million, two hundred twenty-five thousand, six hundred eighty".