76162125312000 has 5616 divisors, whose sum is σ = 368565811994016. Its totient is φ = 15551004672000.

The previous prime is 76162125311977. The next prime is 76162125312043. The reversal of 76162125312000 is 21352126167.

76162125312000 is a `hidden beast` number, since 7 + 6 + 1 + 621 + 2 + 5 + 3 + 1 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5616).

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2456842751985 + ... + 2456842752015.

It is an arithmetic number, because the mean of its divisors is an integer number (65627815526).

Almost surely, 2^{76162125312000} is an apocalyptic number.

76162125312000 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 76162125312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184282905997008).

76162125312000 is an abundant number, since it is smaller than the sum of its proper divisors (292403686682016).

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

76162125312000 is an equidigital number, since it uses as much as digits as its factorization.

76162125312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 76162125312000 its reverse (21352126167), we get a palindrome (76183477438167).

The spelling of 76162125312000 in words is "seventy-six trillion, one hundred sixty-two billion, one hundred twenty-five million, three hundred twelve thousand".