15777780480 has 1152 divisors, whose sum is σ = 71817984000. Its totient is φ = 3278499840.

The previous prime is 15777780451. The next prime is 15777780493. The reversal of 15777780480 is 8408777751.

15777780480 is a `hidden beast` number, since 15 + 7 + 7 + 77 + 80 + 480 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 1434343675 + ... + 1434343685.

It is an arithmetic number, because the mean of its divisors is an integer number (62342000).

Almost surely, 2^15777780480 is an apocalyptic number.

15777780480 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 15777780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35908992000).

15777780480 is an abundant number, since it is smaller than the sum of its proper divisors (56040203520).

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

15777780480 is an frugal number, since it uses more digits than its factorization.

15777780480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 28 counting only the distinct ones).

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

The spelling of 15777780480 in words is "fifteen billion, seven hundred seventy-seven million, seven hundred eighty thousand, four hundred eighty".