15777780480000 has 3840 divisors, whose sum is σ = 74914519680000. Its totient is φ = 3278499840000.

The previous prime is 15777780479939. The next prime is 15777780480041. The reversal of 15777780480000 is 8408777751.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

15777780480000 is a `hidden beast` number, since 15 + 7 + 7 + 77 + 80 + 480 + 0 + 0 + 0 = 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1434343679995 + ... + 1434343680005.

It is an arithmetic number, because the mean of its divisors is an integer number (19508989500).

Almost surely, 2^{15777780480000} is an apocalyptic number.

15777780480000 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 15777780480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37457259840000).

15777780480000 is an abundant number, since it is smaller than the sum of its proper divisors (59136739200000).

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

15777780480000 is an frugal number, since it uses more digits than its factorization.

15777780480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3073280, while the sum is 54.

The spelling of 15777780480000 in words is "fifteen trillion, seven hundred seventy-seven billion, seven hundred eighty million, four hundred eighty thousand".