1077497449600 has 1152 divisors, whose sum is σ = 3382804736640. Its totient is φ = 336027648000.

The previous prime is 1077497449591. The next prime is 1077497449709. The reversal of 1077497449600 is 69447947701.

It is a super-2 number, since 2×1077497449600² (a number of 25 digits) contains 22 as substring.

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, 4746684687 + ... + 4746684913.

It is an arithmetic number, because the mean of its divisors is an integer number (2936462445).

Almost surely, 2^{1077497449600} is an apocalyptic number.

1077497449600 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 1077497449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691402368320).

1077497449600 is an abundant number, since it is smaller than the sum of its proper divisors (2305307287040).

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

1077497449600 is a wasteful number, since it uses less digits than its factorization.

1077497449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 58.

The spelling of 1077497449600 in words is "one trillion, seventy-seven billion, four hundred ninety-seven million, four hundred forty-nine thousand, six hundred".