1013962621680 has 240 divisors, whose sum is σ = 3432539990880. Its totient is φ = 268224307200.

The previous prime is 1013962621669. The next prime is 1013962621699. The reversal of 1013962621680 is 861262693101.

1013962621680 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 9 + 626 + 2 + 16 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148215060 + ... + 148221900.

It is an arithmetic number, because the mean of its divisors is an integer number (14302249962).

Almost surely, 2^{1013962621680} is an apocalyptic number.

1013962621680 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 1013962621680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716269995440).

1013962621680 is an abundant number, since it is smaller than the sum of its proper divisors (2418577369200).

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

1013962621680 is a wasteful number, since it uses less digits than its factorization.

1013962621680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8480 (or 8471 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 1013962621680 in words is "one trillion, thirteen billion, nine hundred sixty-two million, six hundred twenty-one thousand, six hundred eighty".