1393995778560 has 3840 divisors, whose sum is σ = 6964628520960. Its totient is φ = 260112384000.

The previous prime is 1393995778547. The next prime is 1393995778601. The reversal of 1393995778560 is 658775993931.

1393995778560 is a `hidden beast` number, since 1 + 3 + 9 + 3 + 9 + 9 + 57 + 7 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

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, 19633743325 + ... + 19633743395.

It is an arithmetic number, because the mean of its divisors is an integer number (1813705344).

Almost surely, 2^{1393995778560} is an apocalyptic number.

1393995778560 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 1393995778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482314260480).

1393995778560 is an abundant number, since it is smaller than the sum of its proper divisors (5570632742400).

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

1393995778560 is a wasteful number, since it uses less digits than its factorization.

1393995778560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 385786800, while the sum is 72.

The spelling of 1393995778560 in words is "one trillion, three hundred ninety-three billion, nine hundred ninety-five million, seven hundred seventy-eight thousand, five hundred sixty".