15123978000 has 240 divisors, whose sum is σ = 53217259056. Its totient is φ = 4002969600.

The previous prime is 15123977917. The next prime is 15123978053. The reversal of 15123978000 is 87932151.

It can be written as a sum of positive squares in 8 ways, for example, as 987719184 + 14136258816 = 31428^2 + 118896^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×15123978000³ (a number of 32 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 2462934 + ... + 2469066.

Almost surely, 2^15123978000 is an apocalyptic number.

15123978000 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 15123978000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26608629528).

15123978000 is an abundant number, since it is smaller than the sum of its proper divisors (38093281056).

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

15123978000 is a wasteful number, since it uses less digits than its factorization.

15123978000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6299 (or 6280 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 15123978000 in words is "fifteen billion, one hundred twenty-three million, nine hundred seventy-eight thousand".