157878678654000 has 480 divisors, whose sum is σ = 568684462055424. Its totient is φ = 40798068595200.

The previous prime is 157878678653923. The next prime is 157878678654013. The reversal of 157878678654000 is 456876878751.

It is a happy number.

157878678654000 is a `hidden beast` number, since 1 + 5 + 7 + 8 + 7 + 8 + 6 + 78 + 6 + 540 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 157878678654000.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97494939 + ... + 99101061.

Almost surely, 2^{157878678654000} is an apocalyptic number.

157878678654000 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 157878678654000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284342231027712).

157878678654000 is an abundant number, since it is smaller than the sum of its proper divisors (410805783401424).

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

157878678654000 is a wasteful number, since it uses less digits than its factorization.

157878678654000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606322 (or 1606303 counting only the distinct ones).

The product of its (nonzero) digits is 632217600, while the sum is 72.

The spelling of 157878678654000 in words is "one hundred fifty-seven trillion, eight hundred seventy-eight billion, six hundred seventy-eight million, six hundred fifty-four thousand".