1011975814080 has 1008 divisors, whose sum is σ = 4434887987712. Its totient is φ = 207283507200.

The previous prime is 1011975813997. The next prime is 1011975814093. The reversal of 1011975814080 is 804185791101.

1011975814080 is a `hidden beast` number, since 1 + 0 + 1 + 197 + 58 + 1 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 173191639 + ... + 173197481.

It is an arithmetic number, because the mean of its divisors is an integer number (4399690464).

Almost surely, 2^{1011975814080} is an apocalyptic number.

1011975814080 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 1011975814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217443993856).

1011975814080 is an abundant number, since it is smaller than the sum of its proper divisors (3422912173632).

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

1011975814080 is a wasteful number, since it uses less digits than its factorization.

1011975814080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5966 (or 5942 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 45.

The spelling of 1011975814080 in words is "one trillion, eleven billion, nine hundred seventy-five million, eight hundred fourteen thousand, eighty".