1078997014800 has 300 divisors, whose sum is σ = 3886754751616. Its totient is φ = 286668460800.

The previous prime is 1078997014789. The next prime is 1078997014813. The reversal of 1078997014800 is 84107998701.

1078997014800 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 99 + 70 + 1 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×1078997014800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8718957 + ... + 8841843.

Almost surely, 2^{1078997014800} is an apocalyptic number.

1078997014800 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 1078997014800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943377375808).

1078997014800 is an abundant number, since it is smaller than the sum of its proper divisors (2807757736816).

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

1078997014800 is a wasteful number, since it uses less digits than its factorization.

1078997014800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123188 (or 123168 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 1078997014800 in words is "one trillion, seventy-eight billion, nine hundred ninety-seven million, fourteen thousand, eight hundred".