1772116416000 has 960 divisors, whose sum is σ = 7332754530816. Its totient is φ = 402941952000.

The previous prime is 1772116415947. The next prime is 1772116416013. The reversal of 1772116416000 is 6146112771.

1772116416000 is a `hidden beast` number, since 1 + 7 + 7 + 2 + 1 + 1 + 6 + 41 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 850750959 + ... + 850753041.

Almost surely, 2^{1772116416000} is an apocalyptic number.

1772116416000 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 1772116416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3666377265408).

1772116416000 is an abundant number, since it is smaller than the sum of its proper divisors (5560638114816).

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

1772116416000 is a wasteful number, since it uses less digits than its factorization.

1772116416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2311 counting only the distinct ones).

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

The spelling of 1772116416000 in words is "one trillion, seven hundred seventy-two billion, one hundred sixteen million, four hundred sixteen thousand".