153978252480 has 504 divisors, whose sum is σ = 594786274992. Its totient is φ = 37899104256.

The previous prime is 153978252443. The next prime is 153978252497. The reversal of 153978252480 is 84252879351.

153978252480 is a `hidden beast` number, since 1 + 5 + 39 + 7 + 8 + 2 + 524 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13135582 + ... + 13147298.

It is an arithmetic number, because the mean of its divisors is an integer number (1180131498).

Almost surely, 2^153978252480 is an apocalyptic number.

153978252480 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 153978252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297393137496).

153978252480 is an abundant number, since it is smaller than the sum of its proper divisors (440808022512).

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

153978252480 is a wasteful number, since it uses less digits than its factorization.

153978252480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11775 (or 11740 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 153978252480 in words is "one hundred fifty-three billion, nine hundred seventy-eight million, two hundred fifty-two thousand, four hundred eighty".