16772771400 has 192 divisors, whose sum is σ = 64825850880. Its totient is φ = 3485241600.

The previous prime is 16772771369. The next prime is 16772771401. The reversal of 16772771400 is 417727761.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (16772771401) 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 47 ways as a sum of consecutive naturals, for example, 135324 + ... + 227723.

It is an arithmetic number, because the mean of its divisors is an integer number (337634640).

Almost surely, 2^16772771400 is an apocalyptic number.

16772771400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16772771400 is an abundant number, since it is smaller than the sum of its proper divisors (48053079480).

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

16772771400 is a wasteful number, since it uses less digits than its factorization.

16772771400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363084 (or 363075 counting only the distinct ones).

The product of its (nonzero) digits is 115248, while the sum is 42.

The spelling of 16772771400 in words is "sixteen billion, seven hundred seventy-two million, seven hundred seventy-one thousand, four hundred".