1077061860000 has 2400 divisors, whose sum is σ = 4951840303872. Its totient is φ = 223948800000.

The previous prime is 1077061859999. The next prime is 1077061860001. The reversal of 1077061860000 is 681607701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1077061859999) and next prime (1077061860001).

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is not an unprimeable number, because it can be changed into a prime (1077061860001) by changing a digit.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 7132859925 + ... + 7132860075.

Almost surely, 2^{1077061860000} is an apocalyptic number.

1077061860000 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 1077061860000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475920151936).

1077061860000 is an abundant number, since it is smaller than the sum of its proper divisors (3874778443872).

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

1077061860000 is a wasteful number, since it uses less digits than its factorization.

1077061860000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 1077061860000 in words is "one trillion, seventy-seven billion, sixty-one million, eight hundred sixty thousand".