151072478968320 has 2880 divisors, whose sum is σ = 671081859512064. Its totient is φ = 31123313786880.

The previous prime is 151072478968319. The next prime is 151072478968427. The reversal of 151072478968320 is 23869874270151.

151072478968320 is a `hidden beast` number, since 1 + 5 + 1 + 0 + 7 + 247 + 8 + 9 + 68 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 117749398399 + ... + 117749399681.

It is a 1-persistent number, because it is pandigital, but 2⋅151072478968320 = 302144957936640 is not.

Almost surely, 2^{151072478968320} is an apocalyptic number.

151072478968320 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 151072478968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335540929756032).

151072478968320 is an abundant number, since it is smaller than the sum of its proper divisors (520009380543744).

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

151072478968320 is a wasteful number, since it uses less digits than its factorization.

151072478968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 151072478968320 in words is "one hundred fifty-one trillion, seventy-two billion, four hundred seventy-eight million, nine hundred sixty-eight thousand, three hundred twenty".