15538160077440 has 6144 divisors, whose sum is σ = 78599459635200. Its totient is φ = 2506987929600.

The previous prime is 15538160077393. The next prime is 15538160077477. The reversal of 15538160077440 is 4477006183551.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 501230970225 + ... + 501230970255.

It is an arithmetic number, because the mean of its divisors is an integer number (12792880800).

Almost surely, 2^{15538160077440} is an apocalyptic number.

15538160077440 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 15538160077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39299729817600).

15538160077440 is an abundant number, since it is smaller than the sum of its proper divisors (63061299557760).

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

15538160077440 is a wasteful number, since it uses less digits than its factorization.

15538160077440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 15538160077440 in words is "fifteen trillion, five hundred thirty-eight billion, one hundred sixty million, seventy-seven thousand, four hundred forty".