162056294400 has 2496 divisors, whose sum is σ = 786285674496. Its totient is φ = 28311552000.

The previous prime is 162056294399. The next prime is 162056294473. The reversal of 162056294400 is 4492650261.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5227622385 + ... + 5227622415.

Almost surely, 2^162056294400 is an apocalyptic number.

162056294400 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 162056294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393142837248).

162056294400 is an abundant number, since it is smaller than the sum of its proper divisors (624229380096).

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

162056294400 is a wasteful number, since it uses less digits than its factorization.

162056294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 162056294400 in words is "one hundred sixty-two billion, fifty-six million, two hundred ninety-four thousand, four hundred".