142768208880 has 400 divisors, whose sum is σ = 555562950624. Its totient is φ = 33674434560.

The previous prime is 142768208879. The next prime is 142768208881. The reversal of 142768208880 is 88802867241.

142768208880 is a `hidden beast` number, since 1 + 427 + 6 + 8 + 208 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (142768208879) and next prime (142768208881).

It is a super-2 number, since 2×142768208880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142768208881) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2610294 + ... + 2664426.

Almost surely, 2^142768208880 is an apocalyptic number.

142768208880 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 142768208880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277781475312).

142768208880 is an abundant number, since it is smaller than the sum of its proper divisors (412794741744).

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

142768208880 is a wasteful number, since it uses less digits than its factorization.

142768208880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54206 (or 54191 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 142768208880 in words is "one hundred forty-two billion, seven hundred sixty-eight million, two hundred eight thousand, eight hundred eighty".