1073981052000 has 768 divisors, whose sum is σ = 4150592409600. Its totient is φ = 268810444800.

The previous prime is 1073981051977. The next prime is 1073981052031. The reversal of 1073981052000 is 2501893701.

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 127 ways as a sum of consecutive naturals, for example, 1033667481 + ... + 1033668519.

It is an arithmetic number, because the mean of its divisors is an integer number (5404417200).

Almost surely, 2^{1073981052000} is an apocalyptic number.

1073981052000 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 1073981052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075296204800).

1073981052000 is an abundant number, since it is smaller than the sum of its proper divisors (3076611357600).

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

1073981052000 is a wasteful number, since it uses less digits than its factorization.

1073981052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 1073981052000 in words is "one trillion, seventy-three billion, nine hundred eighty-one million, fifty-two thousand".