1001290516380 has 768 divisors, whose sum is σ = 4199886028800. Its totient is φ = 191648747520.

The previous prime is 1001290516361. The next prime is 1001290516381. The reversal of 1001290516380 is 836150921001.

1001290516380 is a `hidden beast` number, since 1 + 0 + 0 + 12 + 9 + 0 + 5 + 1 + 638 + 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 not an unprimeable number, because it can be changed into a prime (1001290516381) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 33207351 + ... + 33237489.

It is an arithmetic number, because the mean of its divisors is an integer number (5468601600).

Almost surely, 2^{1001290516380} is an apocalyptic number.

1001290516380 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 1001290516380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099943014400).

1001290516380 is an abundant number, since it is smaller than the sum of its proper divisors (3198595512420).

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

1001290516380 is a wasteful number, since it uses less digits than its factorization.

1001290516380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30239 (or 30231 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 1001290516380 in words is "one trillion, one billion, two hundred ninety million, five hundred sixteen thousand, three hundred eighty".