103153766488080 has 960 divisors, whose sum is σ = 409815626121216. Its totient is φ = 21222942720000.

The previous prime is 103153766488049. The next prime is 103153766488111. The reversal of 103153766488080 is 80884667351301.

It is an interprime number because it is at equal distance from previous prime (103153766488049) and next prime (103153766488111).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16824946615 + ... + 16824952745.

Almost surely, 2^{103153766488080} is an apocalyptic number.

103153766488080 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 103153766488080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204907813060608).

103153766488080 is an abundant number, since it is smaller than the sum of its proper divisors (306661859633136).

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

103153766488080 is a wasteful number, since it uses less digits than its factorization.

103153766488080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7436 (or 7423 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 103153766488080 in words is "one hundred three trillion, one hundred fifty-three billion, seven hundred sixty-six million, four hundred eighty-eight thousand, eighty".