878151456000 has 3456 divisors, whose sum is σ = 4328816034816. Its totient is φ = 171992678400.

The previous prime is 878151455933. The next prime is 878151456011. The reversal of 878151456000 is 654151878.

878151456000 is a `hidden beast` number, since 8 + 7 + 81 + 5 + 1 + 4 + 560 + 0 + 0 = 666.

878151456000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×878151456000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12029471964 + ... + 12029472036.

It is an arithmetic number, because the mean of its divisors is an integer number (1252550936).

Almost surely, 2^878151456000 is an apocalyptic number.

878151456000 is a gapful number since it is divisible by the number (80) 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 878151456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164408017408).

878151456000 is an abundant number, since it is smaller than the sum of its proper divisors (3450664578816).

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

878151456000 is a wasteful number, since it uses less digits than its factorization.

878151456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 878151456000 in words is "eight hundred seventy-eight billion, one hundred fifty-one million, four hundred fifty-six thousand".