7051161600 has 468 divisors, whose sum is σ = 28890115696. Its totient is φ = 1610219520.

The previous prime is 7051161599. The next prime is 7051161631. The reversal of 7051161600 is 61611507.

7051161600 is a `hidden beast` number, since 7 + 0 + 51 + 1 + 6 + 1 + 600 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6450654 + ... + 6451746.

Almost surely, 2^7051161600 is an apocalyptic number.

7051161600 is a gapful number since it is divisible by the number (70) 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 7051161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14445057848).

7051161600 is an abundant number, since it is smaller than the sum of its proper divisors (21838954096).

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

7051161600 is a wasteful number, since it uses less digits than its factorization.

7051161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 7051161600 is about 83971.1950611637. The cubic root of 7051161600 is about 1917.5802851248.

It can be divided in two parts, 70 and 51161600, that added together give a triangular number (51161670 = T₁₀₁₁₅).

The spelling of 7051161600 in words is "seven billion, fifty-one million, one hundred sixty-one thousand, six hundred".