1090868373504 has 960 divisors, whose sum is σ = 4048947302400. Its totient is φ = 284934537216.

The previous prime is 1090868373493. The next prime is 1090868373559. The reversal of 1090868373504 is 4053738680901.

1090868373504 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 8 + 68 + 3 + 73 + 504 = 666.

1090868373504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1090868373504² (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 79 ways as a sum of consecutive naturals, for example, 1917167332 + ... + 1917167900.

It is an arithmetic number, because the mean of its divisors is an integer number (4217653440).

Almost surely, 2^{1090868373504} is an apocalyptic number.

1090868373504 is a gapful number since it is divisible by the number (14) 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 1090868373504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024473651200).

1090868373504 is an abundant number, since it is smaller than the sum of its proper divisors (2958078928896).

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

1090868373504 is a wasteful number, since it uses less digits than its factorization.

1090868373504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1090868373504 in words is "one trillion, ninety billion, eight hundred sixty-eight million, three hundred seventy-three thousand, five hundred four".