1505980103376 has 480 divisors, whose sum is σ = 4885757827200. Its totient is φ = 397321666560.

The previous prime is 1505980103371. The next prime is 1505980103389. The reversal of 1505980103376 is 6733010895051.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1505980103371) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 308031940 + ... + 308036828.

It is an arithmetic number, because the mean of its divisors is an integer number (10178662140).

Almost surely, 2^{1505980103376} is an apocalyptic number.

1505980103376 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 1505980103376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442878913600).

1505980103376 is an abundant number, since it is smaller than the sum of its proper divisors (3379777723824).

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

1505980103376 is a wasteful number, since it uses less digits than its factorization.

1505980103376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5107 (or 5094 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 48.

The spelling of 1505980103376 in words is "one trillion, five hundred five billion, nine hundred eighty million, one hundred three thousand, three hundred seventy-six".