15778264320 has 1152 divisors, whose sum is σ = 71700249600. Its totient is φ = 3195666432.

The previous prime is 15778264319. The next prime is 15778264321. The reversal of 15778264320 is 2346287751.

It is an interprime number because it is at equal distance from previous prime (15778264319) and next prime (15778264321).

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15778264321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 91203754 + ... + 91203926.

It is an arithmetic number, because the mean of its divisors is an integer number (62239800).

Almost surely, 2^15778264320 is an apocalyptic number.

15778264320 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 15778264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35850124800).

15778264320 is an abundant number, since it is smaller than the sum of its proper divisors (55921985280).

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

15778264320 is a wasteful number, since it uses less digits than its factorization.

15778264320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 15778264320 in words is "fifteen billion, seven hundred seventy-eight million, two hundred sixty-four thousand, three hundred twenty".