156783801398400 has 1152 divisors, whose sum is σ = 635698410197760. Its totient is φ = 37840288665600.

The previous prime is 156783801398381. The next prime is 156783801398401. The reversal of 156783801398400 is 4893108387651.

156783801398400 is a `hidden beast` number, since 1 + 5 + 67 + 8 + 3 + 80 + 1 + 3 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (156783801398401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1941626827 + ... + 1941707573.

It is an arithmetic number, because the mean of its divisors is an integer number (551821536630).

Almost surely, 2^{156783801398400} is an apocalyptic number.

156783801398400 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 156783801398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317849205098880).

156783801398400 is an abundant number, since it is smaller than the sum of its proper divisors (478914608799360).

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

156783801398400 is a wasteful number, since it uses less digits than its factorization.

156783801398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81024 (or 80995 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 156783801398400 in words is "one hundred fifty-six trillion, seven hundred eighty-three billion, eight hundred one million, three hundred ninety-eight thousand, four hundred".