1011953268480 has 864 divisors, whose sum is σ = 4116106471680. Its totient is φ = 209521213440.

The previous prime is 1011953268461. The next prime is 1011953268481. The reversal of 1011953268480 is 848623591101.

It is a happy number.

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 (1011953268481) 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, 718206016 + ... + 718207424.

It is an arithmetic number, because the mean of its divisors is an integer number (4764012120).

Almost surely, 2^{1011953268480} is an apocalyptic number.

1011953268480 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 1011953268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058053235840).

1011953268480 is an abundant number, since it is smaller than the sum of its proper divisors (3104153203200).

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

1011953268480 is a wasteful number, since it uses less digits than its factorization.

1011953268480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 1011953268480 in words is "one trillion, eleven billion, nine hundred fifty-three million, two hundred sixty-eight thousand, four hundred eighty".