1878880147200 has 3240 divisors, whose sum is σ = 9046345215600. Its totient is φ = 381250437120.

The previous prime is 1878880147189. The next prime is 1878880147211. The reversal of 1878880147200 is 27410888781.

It is a happy number.

1878880147200 is a `hidden beast` number, since 18 + 7 + 88 + 80 + 1 + 472 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1878880147189) and next prime (1878880147211).

It is a tau number, because it is divible by the number of its divisors (3240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 8204716686 + ... + 8204716914.

Almost surely, 2^{1878880147200} is an apocalyptic number.

1878880147200 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 1878880147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4523172607800).

1878880147200 is an abundant number, since it is smaller than the sum of its proper divisors (7167465068400).

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

1878880147200 is a wasteful number, since it uses less digits than its factorization.

1878880147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 1605632, while the sum is 54.

The spelling of 1878880147200 in words is "one trillion, eight hundred seventy-eight billion, eight hundred eighty million, one hundred forty-seven thousand, two hundred".