152207379979200 has 5376 divisors, whose sum is σ = 731473182720000. Its totient is φ = 30555076608000.

The previous prime is 152207379979183. The next prime is 152207379979217. The reversal of 152207379979200 is 2979973702251.

152207379979200 is a `hidden beast` number, since 1 + 5 + 220 + 73 + 79 + 9 + 79 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (152207379979183) and next prime (152207379979217).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 423975988621 + ... + 423975988979.

It is an arithmetic number, because the mean of its divisors is an integer number (136062720000).

Almost surely, 2^{152207379979200} is an apocalyptic number.

152207379979200 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 152207379979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365736591360000).

152207379979200 is an abundant number, since it is smaller than the sum of its proper divisors (579265802740800).

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

152207379979200 is a wasteful number, since it uses less digits than its factorization.

152207379979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 30005640, while the sum is 63.

The spelling of 152207379979200 in words is "one hundred fifty-two trillion, two hundred seven billion, three hundred seventy-nine million, nine hundred seventy-nine thousand, two hundred".