15420137542656 has 528 divisors, whose sum is σ = 52817614986240. Its totient is φ = 3954497863680.

The previous prime is 15420137542643. The next prime is 15420137542673. The reversal of 15420137542656 is 65624573102451.

It is a tau number, because it is divible by the number of its divisors (528).

It is a junction number, because it is equal to n+sod(n) for n = 15420137542599 and 15420137542608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130749891 + ... + 130867773.

Almost surely, 2^{15420137542656} is an apocalyptic number.

15420137542656 is a gapful number since it is divisible by the number (16) 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 15420137542656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26408807493120).

15420137542656 is an abundant number, since it is smaller than the sum of its proper divisors (37397477443584).

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

15420137542656 is a wasteful number, since it uses less digits than its factorization.

15420137542656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118010 (or 117985 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 51.

The spelling of 15420137542656 in words is "fifteen trillion, four hundred twenty billion, one hundred thirty-seven million, five hundred forty-two thousand, six hundred fifty-six".