1077607152000 has 1280 divisors, whose sum is σ = 4314713832000. Its totient is φ = 265553510400.

The previous prime is 1077607151989. The next prime is 1077607152007. The reversal of 1077607152000 is 2517067701.

1077607152000 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 60 + 71 + 520 + 0 + 0 = 666.

It is a super-2 number, since 2×1077607152000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077607152007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1299887586 + ... + 1299888414.

Almost surely, 2^{1077607152000} is an apocalyptic number.

1077607152000 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 1077607152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157356916000).

1077607152000 is an abundant number, since it is smaller than the sum of its proper divisors (3237106680000).

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

1077607152000 is an equidigital number, since it uses as much as digits as its factorization.

1077607152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The spelling of 1077607152000 in words is "one trillion, seventy-seven billion, six hundred seven million, one hundred fifty-two thousand".