1156345520400 has 720 divisors, whose sum is σ = 4742814535680. Its totient is φ = 255307852800.

The previous prime is 1156345520399. The next prime is 1156345520443. The reversal of 1156345520400 is 40255436511.

1156345520400 is a `hidden beast` number, since 1 + 1 + 5 + 63 + 4 + 552 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 577305799 + ... + 577307801.

Almost surely, 2^{1156345520400} is an apocalyptic number.

1156345520400 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 1156345520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371407267840).

1156345520400 is an abundant number, since it is smaller than the sum of its proper divisors (3586469015280).

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

1156345520400 is a wasteful number, since it uses less digits than its factorization.

1156345520400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 1156345520400 in words is "one trillion, one hundred fifty-six billion, three hundred forty-five million, five hundred twenty thousand, four hundred".