1001500980480 has 2592 divisors, whose sum is σ = 4992377120640. Its totient is φ = 181707079680.

The previous prime is 1001500980437. The next prime is 1001500980517. The reversal of 1001500980480 is 840890051001.

1001500980480 is a `hidden beast` number, since 100 + 1 + 500 + 9 + 8 + 0 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1533691834 + ... + 1533692486.

It is an arithmetic number, because the mean of its divisors is an integer number (1926071420).

Almost surely, 2^{1001500980480} is an apocalyptic number.

1001500980480 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 1001500980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496188560320).

1001500980480 is an abundant number, since it is smaller than the sum of its proper divisors (3990876140160).

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

1001500980480 is a wasteful number, since it uses less digits than its factorization.

1001500980480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 1001500980480 in words is "one trillion, one billion, five hundred million, nine hundred eighty thousand, four hundred eighty".